Society Lecture Research Articles

DIRECT SUMS OF H-SUPPLEMENTED MODULES

A module M is said to be H-supplemented if, for any submodule X of M, there exists a direct summand M′ of M such that M = X + Y if and only if M = M′ + Y for all Y ⊆ M (cf. [S. H. Mohamed and B. J. Müller, Continuous and Discrete Modules, London Mathematical Society Lecture Note Series, Vol. 147 (Cambridge University Press, 1999)]). We say that a module M is semi-lifting if any direct summand of M is H-supplemented. A H-supplemented module is a dual to a Goldie-extending module which was introduced by Akalan–Birkenmeier–Tercan [Goldie extending modules, Comm. Algebra37 (2009) 663–683]. In this paper, we give some characterizations of semi-lifting modules and H-supplemented modules. In addition, we consider generalizations of relative projectivities and apply them to the study of direct sums of semi-lifting modules.

'These Great and Beautiful Republics of the Dead': Public Constitutionalism and the Antebellum Cemetery

“Public Constitutionalism and the Antebellum Cemetery” joins the growing literature on public constitutionalism by focusing on the seventy addresses given at cemetery dedications from Supreme Court Justice Joseph Story’s address at Mount Auburn Cemetery in Cambridge, Massachusetts, in 1831, through the addresses of Edward Everett and Abraham Lincoln at Gettysburg in November 1863. The addresses were part of a vibrant public discussion of constitutional principles, which spanned such diverse occasions as July Fourth celebrations, arguments in great constitutional cases (like Daniel Webster’s Dartmouth College argument), dedication of public monuments (like Daniel Webster’s speech at the placement of the cornerstone of the Bunker Hill Monument in 1824), lyceum addresses, and college literary society lectures. For Americans, especially those of the Whig Party, the Constitution was a key component of culture and a key unifier of the nation. Rural cemeteries provided support for such constitutional values. They brought beauty and order to the landscape; they served to mediate an impersonal, commercial world and brought uplift through the lessons of morality and patriotism that people learned when they visited the cemeteries. The cemetery supported constitutional values of Union, respect for property, and obedience to the rule of law. For visitors to the cemetery learned about the importance of each of those values at the cemetery. It was an instructor of values; its ordered lanes and graves also served as a sign of the health of the Christian republic. For the cemetery fulfilled duties owed the past. The cemetery inspired sentiments of love of family and country. People would leave the cemetery inspired to preserve the United States as a Christian republic. Finally, these abstract ideas were promoted through private charitable corporations. Those private organizations brought the community together to promote the republic. The cemeteries were, thus, one important institution – along with the schools, churches, civic associations, and businesses – that helped create and preserve the Union. The cemetery dedication addresses, like other addresses designed to promulgate constitutional ideas, mixed appeals to economics, morality, religion, and political theory with legal and constitutional ideas. Rural cemeteries promoted Whig constitutional ideals about order, patriotism, and Union. Those values were at the center of the debate over the response to secession and they were put into practice by soldiers along Cemetery Ridge at Gettysburg in 1863. Lincoln’s address at Gettysburg, thus, reflects the appeals to sentiment and Constitution that were so frequently invoked in the thirty years before the War. This article reveals an important and neglected role of oratory in disseminating constitutional ideas, as well as the significance of rural cemeteries to public constitutional thought. This hidden history reveals how those ideas mobilized support for Union and, thus, how public constitutional thought affects the actions of voters, jurists, and politicians.

Domenico Marinucci and Giovanni Peccati, Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications London Mathematical Society Lecture Notes Series 389. Published by the Cambridge University Press, Cambridge, 2011. Number o

Journal of Time Series AnalysisVolume 34, Issue 5 p. 602-603 Book Review Marinucci, Domenico and Peccati, Giovanni, Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications London Mathematical Society Lecture Notes Series 389. Published by the Cambridge University Press, Cambridge, 2011. Number of pages: 341. Price £40.00, ISBN 978-0-521-17561-6 Nikolai Leonenko, Nikolai Leonenko LeonenkoN@cardiff.ac.uk School of Mathematics, Cardiff University, Cardiff, Wales, UKSearch for more papers by this author Nikolai Leonenko, Nikolai Leonenko LeonenkoN@cardiff.ac.uk School of Mathematics, Cardiff University, Cardiff, Wales, UKSearch for more papers by this author First published: 16 June 2013 https://doi.org/10.1111/jtsa.12024Citations: 1Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat No abstract is available for this article.Citing Literature Volume34, Issue5September 2013Pages 602-603 RelatedInformation

Motivic integration and its interactions with model theory and non-Archimedean geometry, Volumes I and II, edited by Raf Cluckers, Johannes Nicaise and Julien Sebag, London Mathematical Society Lecture Note Series, 383 and 384. Cambridge University Press, Cambridge, 2011, 346 and 262 pp.

Motivic integration and its interactions with model theory and non-Archimedean geometry, Volumes I and II, edited by Raf Cluckers, Johannes Nicaise and Julien Sebag, London Mathematical Society Lecture Note Series, 383 and 384. Cambridge University Press, Cambridge, 2011, 346 and 262 pp. - Volume 19 Issue 2

ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS

In this paper, motivated by Nica and Speicher [Lectures on the Combinatorics of Free Probability, London Mathematical Society Lecture Note Series, Vol. 335 (Cambridge University Press, 2006)] and Kubo and Kuo [MRM-factors for the probability measures in the Meixner class, Infin. Dimens. Anal. Quantum Probab. Relat. Top.13 (2010) 525–550], we characterize a particular nilpotent case of a truncated forward shift operator by applying the technique of the random walks with repeated reflections and associated renewal equations. We also establish a stochastic order relationship by applying the crossing criteria.

Finite and algorithmic model theory, edited by Javier Esparza, Christian Michaux, and Charles Steinhorn, London Mathematical Society Lecture Note Series. Cambridge University Press, 2011, 356 pp.

Finite and algorithmic model theory, edited by Javier Esparza, Christian Michaux, and Charles Steinhorn, London Mathematical Society Lecture Note Series. Cambridge University Press, 2011, 356 pp. - Volume 19 Issue 1

England's wars of religion, revisited

Charles W. A. Prior and Glenn Burgess (eds.), England's Wars of Religion, Revisited. Farnham: Ashgate, 2011. £95.00.It is a mark of John Morrill's enduring influence over historical interpretations of the civil wars of the mid seventeenth century that what he terms a ?throwaway line', delivered at the end of his 1983 Royal Historical Society lecture, should have gone on to shape scholarly debate for the next thirty years. The English civil war ?was not the first European Revolution: it was the last of the Wars of Religion'. This collection demonstrates that, even if the formulation offered by Morrill ought to be subjected to criticism, the idea that religion was ?a motivating force' as well as ?a language of legitimation' (p. 19) now seems uncontroversial. Glenn Burgess, in an introductory survey, and Morrill, in a reflective final essay, usefully remind us of the all-important context in which the thesis was first presented. All of the essays are illuminating on an important debate, even if some contribute less directly than others to the issues most closely associated with Morrill's body of work. Excellent essays by Ronald Asch and Robert von Friedeburg put the English civil war into a European context, by focusing respectively on sacral monarchy and confessional confrontation. These two essays pre-empted what is now an established vogue for investigating European interactions, driven with gusto in recent years by scholars of print cultures. Some readers may wonder why an approach that was not central to Morrill's intellectual development has been privileged over his pioneering arguments in favour of an integrative 'British' account of the wars; Morrill himself notes this point. Since the publication of the book, new studies have emerged - in edited collections such as that by Robert Armstrong and Tadgh O hAnnrachain, in monograph studies by, amongst others, Hunter Powell, and in work on the Westminster Assembly - that demonstrate how religious interests were cross-border and complicated 'national' politics. Consideration of the British angle would undoubtedly have enriched the collection.The best of these essays go beyond the limitations of Morrill's original formulation, by blurring the boundaries around categories of analysis and offering original interpretations of motivation and mobilisation, perception and self-identification. Puritan-parliamentarians are represented by two superb studies of Oliver Cromwell by Rachel Foxley and Blair Worden, and an incisive reassessment of Simonds D'Ewes by Sears McGee. Making a useful distinction between personal motivations and the more complicated business of justifying war, Foxley expertly unpicks the seeming paradox that a man so clearly driven by religious imperatives as Cromwell nonetheless recognised widely-held doubts about the legitimacy of raising the sword for solely spiritual ends. Interpretations of 'liberty' are at the heart of both Foxley's analysis and Blair Worden's elegant essay, which details Cromwell's role in turning 'civil and religious liberty' into the 'catchphrase' beloved of later Whig historians (p. 231). McGee uses the well-known figure of D'Ewes to question Morrill's characterisation of religion as the 'critical divide' between royalists and parliamentarians. D'Ewes was committed, not to further reformation, but to the recovery of an Elizabethan church polluted by 'impious bishops' such as Matthew Wren (p. …

Zariski geometries: geometry from the logician's point of view (London Mathematical Society Lecture Note Series 360)

By Boris Zilber: 212 pp., US$60.00/£35.00 (LMS members' price US$45.00/£26.25), isbn 9780521735605 (Cambridge University Press, Cambridge, 2010).

ON THE EXISTENCE OF NON-ABELIAN (210, 77, 28), (336, 135, 54) AND (496, 55, 6) DIFFERENCE SETS

Lander [Symmetric Design: An Algebraic Approach, London Mathematical Society Lecture Note Series, Vol. 74 (Cambridge University Press, Cambridge, 1983)] showed that some abelian (v, k, λ) difference sets do not exist in some groups of order v and listed some parameters of difference sets that were open for small values of k (k ≤ 50). Various authors have since studied the open cases and have either constructed the difference sets when they exist or proved their non-existence. Using restrictions imposed by the underlying normal subgroups of groups, algebraic number theory, group representations and rational idempotents of the group ring, we rule out the existence of (496, 55, 6) difference sets and show that non-abelian (210, 77, 28) and (336, 135, 54) difference sets do not exist in most groups of 210 and 336, respectively.

News and Notes

News and Notes

News and Notes

News and Notes

News and Notes

News and Notes

Andrew Knox and Christopher Gardner-Thorpe, The Royal Devon and Exeter Hospital 1741–2006, Exeter, Andrew Knox and Christopher Gardner-Thorpe, 2008, pp. xiii, 222, £16.99 (hardback 978-0-9561700-1-9), £8.99 (paperback 978-0-956170-0-2).

This book has its origins in a series of Devon and Exeter Medical Society lectures in 2006–7. It successfully combines a scholarly approach with a very readable and accessible narrative that covers not just the Royal Devon and Exeter Hospital (RDE) but the delivery of health care in the large area between Plymouth and Bristol. The surprisingly affordable price, with all profits going to the Medical Society for the promotion of medical research, combined with the carefully arranged text and the lovely images on the dust-jacket will ensure its appeal to a wide audience. The authors are both retired RDE consultants and they offer a warm insider view of the development of the institution. Building on past histories of the Hospital, this new work concentrates on the National Health Service era. While many publications marking the sixtieth anniversary of the NHS have grappled with its problems and analysed its organizational structures, financial pressures and persistent inequalities, Andrew Knox and Christopher Gardner-Thorpe provide an optimistic view of the past, present and future of health care at the Royal Devon and Exeter. They argue that after 1948 more doctors and other specialist staff were employed, and they innovatively developed new services, brought in the latest surgical and medical techniques, and treated more patients with better outcomes than ever before. The sense of progress, driven by key personalities and a sense of collective endeavour amongst the local medical community, is highlighted by the way chapters 3 to10 are organized to facilitate description of each of the medical specialities. This structure places the work within the medical history rather than the social history of medicine tradition but the authors locate their analysis within current policy as well as historiographical debates. One of the main themes in the book is the importance all communities place on having a good local hospital. For Knox and Gardner-Thorpe the ability to recruit and retain highly qualified medical and other staff is the key to this. They identify three significant phases in the history of the Hospital and associate them with the delivery of medical education. From the 1740s, the RDE had an enviable reputation as a centre of excellence but lost national prominence after the 1858 Medical Act, before rediscovering something of its former glory within the structures of the NHS, despite concern about an apparent financial bias towards regional rivals in Plymouth and Bristol. Staff at the Hospital helped pioneer new surgical and other treatments, and the authors provide a very interesting explanation about their ability to do so and the attraction a city like Exeter had for leading clinicians and researchers. Despite a clear commitment to objectivity, this celebration of medical achievements at the Royal Devon and Exeter at times lacks a critical edge, and I, personally, would have liked to see a little more attention given to both the role of the other staff, particularly nurses, and the patient experience. This is however a unique record, offering insights not just into the history of one hospital but health care in provincial areas more generally. It is fortunate that the authors were able to capture the memories of so many colleagues who experienced most of the changes after 1948 first hand. It is a sad fact that the first half of the twentieth century already eludes this type of study. There remains something of a question about why doctors in Exeter, a city with conservative views, were so quick and keen to embrace what we would now recognize as the principles of the NHS. Knox and Gardner-Thorpe offer only tentative suggestions, but the wartime blitz and the somewhat problematic involvement of RDE consultants with pre-1948 local authority medical services seem to merit further investigation. In fact the whole project seems designed to encourage and facilitate further work on the history of various aspects of the Royal Devon and Exeter Hospital. Future scholars will owe a considerable debt to this publication.

Review of joint British Academy and British Psychological Society Lecture 2009

Review of joint British Academy and British Psychological Society Lecture 2009

List colorings with distinct list sizes, the case of complete bipartite graphs

Let f:V→N be a function on the vertex set of the graph G=(V,E). The graph G is f-choosable if for every collection of lists with list sizes specified by f there is a proper coloring using colors from the lists. The sum choice number, χsc(G), is the minimum of ∑f(v), over all functions f such that G is f-choosable. It is known (Alon, Surveys in Combinatorics, 1993 (Keele), London Mathematical Society Lecture Note Series, Vol. 187, Cambridge University Press, Cambridge, 1993, pp. 1-33, Random Struct Algor 16 (2000), 364-368) that if G has average degree d, then the usual choice number χl(G) is at least Ω(logd), so they grow simultaneously. In this article, we show that χsc(G)/|V(G)| can be bounded while the minimum degree δmin(G)→∞. Our main tool is to give tight estimates for the sum choice number of the unbalanced complete bipartite graph Ka,q. © 2015 Wiley Periodicals, Inc.

Quantum groups: A path to current algebra (Australian Mathematical Society Lecture Series 19)

By Ross Street: 141 pp., £28.99 (US$57.00), isbn 0-5216-9524-4, (Cambridge University Press, Cambridge, 2007).

All Astir

All Astir . . . Marvelling mild if mortal twice, Here and hereafter, touch a Paradise. “To Ned” G etting to Paradise once, as Melville did when he first went ashore in the Marquesas and Tahiti (or even that reverse-Paradise, the Galápagos), might satisfy someone for a lifetime. Getting to return physically, as he did on the United States, and then imaginatively in his novels and poems, Melville fully comprehended the miracle he had received. Through a similarly miraculous gift your “Extracts” editor, after reading about Melville’s paradises for decades, got to visit them as faculty lecturer on tour with MIT alumni—first in the Galápagos in November, 2008 and then Tahiti in February, 2009. Treading my way gingerly through a lava “Tartarus of clinkers” on Fernandina (Melville’s Narborough Isle) or sailing past the Maatea valley (Melville’s Martair in Tahiti), where he and John Troy briefly cultivated sweet potatoes, I felt the spell of “twice” touching magical realms. The Galápagos trip directly inspired the Melville Society lecture I delivered January 3 at the New Bedford Whaling Museum’s Moby-Dick Marathon. Titled “Crossing the Line and Exploring the Equator in Moby-Dick,” illustrated with maps and pictures of the Offshore Grounds Melville sailed, the talk discussed “the equator as a theme in Moby-Dick but also as a line that Melville traveled, wrote about, and returned to in later writings.” It is hard to convey the deep pleasure of sailing the seas Melville knew, speaking about his books with different readers, and discovering new latitudes in his writings. The sabbatical, in other words, has been a revelation. Likewise, the activities of the Melville Society in the last six months have allowed some members to touch more than once, if not at paradises, then at scenes of fellowship and scholarship within the community of Melville readers. The MLA, always the site of the Executive Committee’s annual meeting, drew an unusually large number of officers to San Francisco in December, 2008. Outgoing President Carolyn Karcher and incoming President Robert Milder joined with Executive Secretary Mary K. Bercaw Edwards, outgoing Treasurer John Matteson, incoming Treasurer Tony McGowan, Melville Society Cultural Project representative Robert K. Wallace, Editor John Bryant, and Associate Editor Wyn Kelley. You will find the reports of the Executive Secretary and Treasurer in this issue. We are grateful for the unstinting devotion, hard work, and service represented in these reports and among all our officers. C 2009 The Authors Journal compilation C 2009 The Melville Society and Wiley Periodicals, Inc. L E V I A T H A N A J O U R N A L O F M E L V I L L E S T U D I E S 89 E X T R A C T S Clockwise from far left: Mary K. Bercaw Edwards, Tony McGowan, Carolyn Karcher, Wyn Kelley, Robert K. Wallace, Robert Milder, John Bryant, and John Matteson. At a festive dinner following the Melville Society panel (see our “MLA Abstracts” in this issue), Mary K. Bercaw Edwards announced the winner of the Hennig Cohen Prize, Matthew Cordova Frankel from the University of Rhode Island. Matthew Cordova Frankel, Cohen Prize winner. 90 L E V I A T H A N A L L A S T I R Melville scholars show that tattooing is not simply an academic subject. Professor Frankel’s article, “Tattoo Art: The Composition of Text, Voice and Race in Melville’s Moby-Dick,” published in ESQ, naturally provoked discussion of tattoos inspired by Melville’s art. More than one person attending the dinner could claim to have acted on this inspiration. We were fortunate to record in the photo above the genial competition that ensued. In January 2009 the Melville Society Cultural Project met in New Bedford with the Whaling Museum’s new director, James Russell, and his hardworking staff. The group were delighted to hear that under James Russell’s new leadership the Museum’s financial picture, organization, attendance, and staff morale have considerably improved. Madelyn Shaw requested input from the MSCP for the projected renovation of the Sperm Whale Gallery, which we provided in succeeding weeks. As Mary K. Bercaw...

A GENERIC MULTIPLICATION IN QUANTIZED SCHUR ALGEBRAS

We define a generic multiplication in quantized Schur algebras and thus obtain a new algebra structure in the Schur algebras. We prove that via a modified version of the map from quantum groups to quantized Schur algebras, defined in (A. A. Beilinson, G. Lusztig and R. MacPherson, A geometric setting for the quantum deformation of GL(n), Duke Math. J. 61 (1990), 655-677), a subalgebra of this new algebra is a quotient of the monoid algebra in Hall algebras studied in (M. Reineke, Generic extensions and multiplicative bases of quantum groups at q = 0, Represent. Theory 5 (2001), 147-163). We also prove that the subalgebra of the new algebra gives a geometric realization of a positive part of 0-Schur algebras, defined in (S. Donkin, The q-Schur Algebra, London Mathematical Society Lecture Note Series 253. Cambridge University Press, Cambridge, 1998, x + 179. ISBN: 0-521-64558-1.). Consequently, we obtain a multiplicative basis for the positive part of 0-Schur algebras.

All Astir

All Astir “ . . . here they came to say their prayers, enjoy their free-and-easies, count their crackers from the cask, their doubloons from the keg, and measure their silks of Asia with long Toledos for their yard-sticks.” (The Encantadas, “Sketch Sixth: Barrington Isle and the Buccaneers”) S cenes of geniality abound in Melville’s works, a reminder that gatherings of the Melville Society borrow their splendor from a festive source. This “Extracts” records a number of such events, suggesting that even in a season of considerable turmoil—a national election and period of economic uncertainty—the Society has met in a spirit as jovial as (if less predatory than) that of the Barrington Isle buccaneers. First a warm welcome to our new officers: President Robert Milder, Treasurer Tony McGowan, Associate Secretary for Programs and Conferences Joseph Fruscione (working with Secretary Mary K. Bercaw Edwards), Murray Endowment Committee member Sanford E. Marovitz, MLA Program Chair Peter Norberg, and ALA Program Chair Maurice S. Lee (“Melville and the End(s) of Philosopy”). We bid a grateful farewell to Treasurer John Matteson after his years of superb service. The Melville Society Cultural Project convened in New Bedford, MA from July 30-August 1 for its semiannual activities at the New Bedford Whaling Museum. The group—Jennifer Baker, Mary K. Bercaw Edwards, Wyn Kelley, Timothy Marr, Christopher Sten, and Robert K. Wallace—joined John Garfield, acting director of the Museum since the departure of Anne Brengle in December 2007; Madelyn Shaw (now Vice President for Collections and Exhibitions); and Karen Allen (now Director of Programs and Operations) to discuss the search for a new director and the status of our affiliation and programs. At that point the Museum was actively continuing its search; since then James P. Russell has been appointed the new President, and the MSCP met him in January during the Moby-Dick Marathon. With new leadership, the Museum can now move forward with its plans for joint efforts with the MSCP, including a guided Melville tour through the collections and a Melville-themed exhibit in the Lagoda Room. After assessing our programming during this transition time at the Museum, the group decided to phase out the Melville Lyceum series and focus on two events that bring the largest audiences into the building: the MobyDick Marathon Melville Society Lecture (January) and the Melville Birthday Lecture (July). The Marathon lecturer this year, stepping in for new President Robert Milder, who is not available, was Wyn Kelley speaking on “Crossing C 2009 The Authors Journal compilation C 2009 The Melville Society and Wiley Periodicals, Inc. 100 L E V I A T H A N A J O U R N A L O F M E L V I L L E S T U D I E S E X T R A C T S the Line and Exploring the Equator in Moby-Dick.” We hope to offer other lectures throughout the year on a flexible schedule and in tandem with existing exhibits. The group had lunch with our partners in literacy projects: Erin B. Reilly from MIT’s Project New Media Literacies, Elizabeth Comeau from Spinner Publications in New Bedford, Sara Meierowitz, the new Director of Education at the Museum, and Laurie Robertson-Lorant from University of Massachusetts-Dartmouth School of Education. With Moby-Dick now named the official novel of Massachusetts (see Maurice S. Lee’s comments on this development in the Boston Globe, October 10, 2008), we have an ideal opportunity to participate in curriculum planning around Melville in Massachusetts schools. Later in the afternoon, the National Parks Service, led by Jennifer Gonsalves, hosted the MSCP and its community partners: Lee Heald from AHA! (Arts, History, and Architecture, a cultural organization), Lee Blake (University of Massachusetts-Dartmouth), Mark Smith (director of the new Ocean Explorium), Sara Meierowitz, Laurie Roberston-Lorant, and Madelyn Shaw. We discussed planning for future conferences and symposia to bring together different cultural organizations and the public. The day culminated with the arrival of H. Bruce Franklin, our distinguished guest for the Melville Birthday Lecture. His talk, “The Most Important Fish in the Sea,” drew on his new book of the same title (Island...

The proofs of the optimal bounds for mixtures of two anisotropic conducting materials in two dimensions

We provide a complete proof of the result announced 20 years ago in Francfort and Murat [Francfort, G.A., Murat, F., 1987. Optimal bounds for conduction in two-dimensional, two-phase, anisotropic media. In: Knops, R.J., Lacey, A.A., (Eds.), Nonclassical Continuum Mechanics (Durham, 1986), London Mathematical Society Lecture Note Series, vol. 122, Cambridge University Press, Cambridge, pp. 197–212], namely the characterization in two dimensions of the set of the effective conductivities obtained by mixing two anisotropic conducting materials with arbitrary orientation. We also provide a complete proof of the characterization (also already announced in Francfort and Murat (1987)) of the sets of conducting materials with arbitrary orientation which are stable under H-convergence in two dimensions.