windowandOpen Image In New Window Research Articles

Certain categories of modules for twisted affine Lie algebras

In this paper, using generating functions, we study two categories Open image in new window and Open image in new window of modules for twisted affine Lie algebras Open image in new window , which were firstly introduced and studied for untwisted affine Lie algebras by H. -S. Li [Math Z, 2004, 248: 635–664]. We classify integrable irreducible Open image in new window -modules in categories Open image in new window and Open image in new window , where Open image in new window is proved to contain the well-known evaluation modules and Open image in new window to unify highest weight modules, evaluation modules and their tensor product modules. We determine also the isomorphism classes of those irreducible modules.

Measure-category properties of Borel plane sets and Borel functions of two variables

Let Open image in new window stand for the Fubini-type product of σ-ideals Open image in new window . We consider mixed measure-category σ-ideals Open image in new window and Open image in new window (called the Mendez σ-ideals), and study some features of their structure. We show that Open image in new window and Open image in new window are not invariant with respect to nonzero rotations. Using Fremlin’s results, we describe nice Borel bases of Open image in new window and Open image in new window . The rest of the paper is devoted to uniform versions of the Nikodym theorem and the Lusin theorem for Borel functions of two variables.

Local structure of germanium-sulfur, germanium-selenium, and germanium-tellurium vitreous alloys

119Sn and 129Te (129I) Mossbauer spectroscopy showed that chalcogen-enriched Ge100 − yXy (X = S, Se, Te) glasses are constructed of structural units including two-coordinated chalcogen atoms in chains such as Open image in new window and Open image in new window . Germanium in these glasses is only tetravalent and four-coordinated, and only chalcogen atoms are in the local environment of germanium atoms. Chalcogen-depleted glasses are constructed of structural units including two-coordinated (in Open image in new window chains) and three-coordinated chalcogen atoms (in Open image in new window chains). Germanium in these glasses stabilizes in both the tetravalent four-coordinated and divalent three-coordinated states, and only chalcogen atoms are in the local environment of germanium atoms.

Cotorsion pair extensions

Assume that S is an almost excellent extension of R. Using functors HomR(S,−) and —⊗RS, we establish some connections between classes of modules Open image in new window and Open image in new window , cotorsion pairs Open image in new window and Open image in new window . If Open image in new window is a T-extension or (and) H-extension of Open image in new window , we show that Open image in new window is a (resp., monomorphic, epimorphic, special) preenveloping class if and only if so is Open image in new window . If Open image in new window is a TH-extension of Open image in new window , we obtain that Open image in new window is complete (resp., of finite type, of cofinite type, hereditary, perfect, n-tilting) if and only if so is Open image in new window .

The heat capacity and density of solutions of cadmium and mercury diiodides in methylpyrrolidone at 298.15 K

The heat capacity and density of solutions of cadmium and mercury diiodides in methylpyrrolidone (MP) at 298.15 K were studied by calorimetry and densimetry. The data obtained are discussed in relation to the special features of solvation and complex formation in solutions of the salts. The standard partial molar heat capacities and volumes ( Open image in new window and Open image in new window ) of the electrolytes in MP were calculated. The standard heat capacities Open image in new window and volumes Open image in new window of the Cd2+ and Hg2+ ions in solutions in MP at 298.15 K were determined.

On inductive limits of measure spaces

We introduce a category of (topological) measure spaces in which inductive limitis exist and where the Banach spaces Open image in new window and Open image in new window (1≤p≤+∞) are isometric for arbitrary inductive systems Open image in new window of (topological) measure spaces.

Infrared spectra and normal vibrations of O-methyl monothiocarbonate, S-methyldithiocarbonates and N-methylmonothiocarbamates, methyltrithiocarbonate, and related ions

Infrared spectra and normal vibrations of ions of the type Open image in new window and Open image in new window , with X and Y as S, O and N have been compared and discussed.