Group Scheme Research Articles

Теоретико-методичні аспекти організації управління підприємством з позиції взаємодії зі стейкхолдерами

The article carries out a study on the main provisions of the stakeholder theory and the definition of the concept of «stakeholder». A classification is provided and a scheme of stakeholder groups from the position of their interaction with the enterprise is built up. Stakeholders are divided into internal ones, i.e., those that have a direct impact on strategic and operational activities, and external ones, i.e., those that indirectly influence the activities of enterprise. It is identified that all groups of interested parties that influence the achievement of the goals and results of enterprise are its stakeholders, and their interests must be taken into account in the process of activities and management of the enterprise. The AA1000SES standard (Stakeholders Engagement Standard) is considered and it is determined that the implementation of this standard indicates the readiness of the enterprise to conduct activities on the basis of the principle of transparency, that is: to report to interested parties; have readiness to respond to the stakeholders’ concerns and questions; to comply with legislation, standards, principles, codes and other voluntary obligations. The stages of defining stakeholders and their impact on enterprise in both foreign and domestic practice are considered. International practice of interaction with interested parties is investigated and its similarity with the national one is noted. It is summed up that at foreign enterprises the work is carried out more in terms of key stakeholders, while domestic enterprises try mainly to cover the participants of the «far circle». The scheme of the process of managing relations with interested parties at the enterprise is built up and it is determined that the process of transition from one stage to another is carried out through the implementation of management procedures, i.e., the stages of the process of managing stakeholder relations at the enterprise. The basic principles of the system of management of relations with interested parties are considered and it is established that adherence to these principles makes it possible to improve the process of managing relationships with stakeholders. The practical significance of the obtained results is that they can be the theoretical and methodological basis for further research of the problems of managing the relations between Ukrainian enterprises and stakeholders.

Efficient identity based ring signature scheme in prime order group

Aiming at the problem of long signature generation and verification time caused by low operation efficiency in ring signature algorithm based on composite order group, an asymmetric identity based ring signature scheme based on prime order group is proposed. The model definition and specific identity based ring signature scheme design of the proposed scheme are described, and the correctness and security of the proposed scheme are analyzed. Finally, the efficiency of the core operation part of the algorithm is explained. Compared with the correlation signature algorithm based on composite order group, the optimization has a great improvement in operation overhead and performance, and the designed scheme is unforgeable. The designed signature scheme meets the unconditional anonymity and unforgeability of ring signature.

Splitting families in Galois cohomology

Let $k$ be a field, with absolute Galois group $\Gamma$. Let $A/k$ be a finite \'etale group scheme of multiplicative type, i.e. a discrete $\Gamma$-module. Let $n \geq 1$ be an integer, and let $x \in H^n(k,A)$ be a cohomology class. We show that there exists a countable set $I$, and a familiy $(X_i)_{i \in I}$ of (smooth, geometrically integral) $k$-varieties, such that the following holds. For any field extension $l/k$, the restriction of $x$ vanishes in $H^n(l,A)$ if and only if (at least) one of the $X_i$'s has an $l$-point. In the case where $A$ is of $p$-torsion for a prime number $p$, we moreover show that the $X_i$'s can be made into an ind-variety. In the case $n=2$, we note that one variety is enough.

Semi-Supervised Low-Rank Semantics Grouping for Zero-Shot Learning.

Zero-shot learning has received great interest in visual recognition community. It aims to classify new unobserved classes based on the model learned from observed classes. Most zero-shot learning methods require pre-provided semantic attributes as the mid-level information to discover the intrinsic relationship between observed and unobserved categories. However, it is impractical to annotate the enriched label information of the observed objects in real-world applications, which would extremely hurt the performance of zero-shot learning with limited labeled seen data. To overcome this obstacle, we develop a Low-rank Semantics Grouping (LSG) method for zero-shot learning in a semi-supervised fashion, which attempts to jointly uncover the intrinsic relationship across visual and semantic information and recover the missing label information from seen classes. Specifically, the visual-semantic encoder is utilized as projection model, low-rank semantic grouping scheme is explored to capture the intrinsic attributes correlations and a Laplacian graph is constructed from the visual features to guide the label propagation from labeled instances to unlabeled ones. Experiments have been conducted on several standard zero-shot learning benchmarks, which demonstrate the efficiency of the proposed method by comparing with state-of-the-art methods. Our model is robust to different levels of missing label settings. Also visualized results prove that the LSG can distinguish the test unseen classes more discriminative.

Dieudonné theory via cohomology of classifying stacks

Abstract We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G. We also provide a calculation of the crystalline cohomology of the classifying stack of an abelian variety. We use this to prove that the crystalline cohomology of the classifying stack of a p-divisible group is a symmetric algebra (in degree $2$ ) on its Dieudonné module. We also prove mixed-characteristic analogues of some of these results using prismatic cohomology.

Skandia America and VAT Grouping in Spain

For the first time since the publication of the Court of Justice of the European Union’s (CJEU’s) decision in Skandia America, a Spanish administrative authority has spoken out explicitly about the impact of such a judgment on Spain. With its resolution, the Spanish administrative authority reopened a closed debate when pointing out that it would be totally inadmissible to reject the application of the Skandia America case to the Spanish legal system only as a result of the particular manner that Article 11 of the VAT Directive has been implemented by the Spanish legislator. This article analyses the problems and doubts concerning the application of the Skandia America judgment to VAT groups constituted under the Spanish VAT Act. To do so, this article performs a three-step analysis. First, the arguments presented by the CJEU to justify its decision in such a judgment are reviewed. Secondly, the author provides a description of the VAT grouping scheme that is applicable in Spain. Finally, the attention is focused on the reasoning offered by the Spanish administrative authority in its resolution to support the fact that the Skandia America judgment is fully applicable to VAT groups located in Spain. EU Law, VAT Directive, VAT grouping, branch, fixed establishment, head office, supply of services, single taxable person, intra-group transaction, principle of subsidiarity.

Duality theory of $p$-adic Hopf algebras

We show the monoidal functoriality of Schikhof duality, and cultivate new duality theory of $p$-adic Hopf algebras. Through the duality, we introduce two sorts of $p$-adic Pontryagin dualities. One is a duality between discrete Abelian groups and affine formal group schemes of specific type, and the other one is a duality between profinite Abelian groups and analytic groups of specific type. We extend Amice transform to a $p$-adic Fourier transform compatible with the second $p$-adic Pontryagin duality. As applications, we give explicit presentations of a universal family of irreducible $p$-adic unitary Banach representations of the open unit disc of the general linear group and its $q$-deformation in the case of dimension $2$.

Skuteczność zdalnego motywowania do pracy twórczej – wyniki badań eksperymentalnych

Objective: The article presents the results of experimental research on the influence of various levels of motivational synergy (the combination of external and internal motivation) on the effectiveness of motivating people to do creative work under time pressure and in remote conditions.Research Design & Methods: The study used a pre-experimental, static group scheme covering 107 people. Three hypotheses on various degrees of the motivational synergy were verified for the criteria of evaluating the products of creative work. The criteria included originality, fluidity, and ideational flexibility.Findings: The research shows that, when fully using motivational synergy, remote motivation has a bigger impact on ideational fluidity than when it does not.Implications / Recommendations: The conclusions of the research assess the impact of full and incomplete motivational synergy in remote conditions on ideational fluidity and the diversity of the effects of creative work.Contribution: The article contributes to the research on motivational synergy as it pertains to creative work, in remote conditions, using an experiment. Thus, it goes beyond the exclusive opposition of external and internal motivation for this type of work, referring to modules of experience. This is the novel contribution of the work. The results can be used to program processes for developing, appraising, and remunerating employees.

Restricted Access Window-Based Resource Allocation Scheme for Performance Enhancement of IEEE 802.11ah Multi-Rate IoT Networks

IEEE 802.11ah (Wi-Fi HaLow) is introduced to support Internet of things (IoT) applications. In this paper, we consider the IEEE 802.11ah multi-rate IoT network where stations (STAs) contend for channel access using group-based restricted access window (RAW) mechanism with the default uniform grouping scheme. RAW divides the channel time into various slots, STAs into different groups and assigns a dedicated RAW slot to each group of STAs. As uniform grouping scheme performs grouping on random basis, each group will comprise of distinct data rate STAs, which leads to severe degradation of throughput because of performance anomaly. We propose a novel RAW based resource allocation (RAW-RA) scheme which groups the STAs in a multi-rate IoT network based on data rates and allocates the RAW slots to the groups proportional to their data rates. We also develop an accurate analytical model with unsaturated traffic conditions for calculating the throughput and energy efficiency of the IEEE 802.11ah multi-rate IoT network with the RAW mechanism. From the analytical results, it is evident that the proposed RAW-RA scheme can resolve the performance anomaly as well as significantly improves the aggregate throughput and energy efficiency of the IoT network. Finally, all the analytical results are validated with extensive simulation studies.

Almost Homogeneous Varieties of Albanese Codimension One

Abstract We classify almost homogeneous normal varieties of Albanese codimension $1$, defined over an arbitrary field. We prove that such a variety has a unique normal equivariant completion. Over a perfect field, the group scheme of automorphisms of this completion is smooth, except in one case in characteristic $2$, and we determine its (reduced) neutral component.

Bayesian uncertainty quantification for guided-wave-based multidamage localization in plate-like structures using Gibbs sampling

In this article, a new Bayesian approach for guided-wave-based multidamage localization by employing Gibbs sampling is proposed. By using the information of time-of-flight (ToF) embedded in guided wave signals, the posterior probability distributions of three parameter groups, that is, the horizontal and vertical coordinates of the multidamage locations (x, y) and wave velocity v, are characterized using Gibbs sampling samples. To obtain the analytical form of the conditional posterior probability density function of each parameter group conditional on the other two and the available ToF data, a first-order Taylor expansion of the nonlinear ToF-based damage localization model with respect to each parameter group is performed. Two Gibbs sampling algorithms are proposed, which differ in their strategies to address the posterior uncertainty of the prediction error parameter; however, both algorithms iteratively sample from conditional posterior probability density functions of three parameter groups. Therefore, the effective number of dimensions for Gibbs sampling is always three, regardless of the number of defects. The final damage localization results are obtained by grouping all ToFs and then comparing the posterior uncertainty of localization results of each grouping scheme to obtain the most reliable sampling results among all candidates. The proposed method not only identifies the group velocity but also localizes multiple defects by sharing the same characteristics of damage localization. Furthermore, this method can quantify the uncertainty of multidamage localization to automatically find the most reliable damage locations. The effectiveness and robustness of the proposed algorithms are validated by both numerical and experimental examples.

The Steenrod algebra from the group theoretical viewpoint

In the paper “The Steenrod algebra and its dual” [2], J. Milnor determined the structure of the dual Steenrod algebra which is a graded commutative Hopf algebra of finite type. We consider the affine group scheme Gp represented by the dual Hopf algebra of the mod p Steenrod algebra. Then, Gp assigns a graded commutative algebra A⁎ over a prime field of finite characteristic p to a set of isomorphisms of the additive formal group law over A⁎, whose group structure is given by the composition of formal power series ([4] Appendix). The aim of this paper is to show some group theoretic properties of Gp by making use of this presentation of Gp(A⁎). We give a decreasing filtration of subgroup schemes of Gp which we use for estimating the length of the lower central series of finite subgroup schemes of Gp. We also give a successive quotient maps Gp→ρ0Gp〈1〉→ρ1Gp〈2〉→ρ2⋯→ρk−1Gp〈k〉→ρkGp〈k+1〉→ρk+1⋯ of affine group schemes over a prime field Fp such that the kernel of ρk is a maximal abelian subgroup.

Multimodal Risk-Adapted Treatment in Surgical Patients With Synovial Sarcoma: A Preoperative Nomogram-Guided Adjuvant Treatment Strategy.

Background: Synovial sarcoma is characterized by heterogeneous clinical manifestations, making it difficult to evaluate individual patients' prognoses and design personal treatment schemes. We established an effective preoperative nomogram to predict cancer-specific survival (CSS) and present a risk-adapted adjuvant treatment strategy in surgical patients with synovial sarcoma.Methods: This retrospective study included patients from the Surveillance, Epidemiology, and End Results (SEER) database who were diagnosed with synovial sarcoma between 1996 and 2015. The patients were randomly divided into training and validation groups. The predictors were selected using univariate and multivariate Cox hazards models. The nomogram performance was verified for its discriminatory ability and calibration. We further stratified the patients into different risk groups according to the nomogram scores and compared the efficacy of chemotherapy, radiotherapy, and combination of radiotherapy and chemotherapy.Results: There were 915 patients enrolled in our study, with 874 patients either alive or dead due to synovial sarcoma. We established a nomogram to predict 5-year CSS based on independent factors, including sex, age, grade, tumor size, location, and extent (all p < 0.05). Our model showed a consistently good discriminatory ability and calibration for predicting 5-year CSS in both the training (c-index = 0.78, 95% CI 0.75–0.81) and validation (c-index = 0.73, 95% CI 0.68–0.78). Based on their nomogram scores, we divided patients into 5 groups. Compared to patients without adjuvant treatment, nomogram I patients with adjuvant treatment had no improvements in 5-year CSS (100.0% vs. 100.0%), nomogram II patients had higher 5-year CSS with radiotherapy or chemotherapy (92.9% vs. 72.2%, p = 0.015), nomogram III patients had higher 5-year CSS with combination of chemotherapy and radiotherapy (70.1% vs. 47.2%, p = 0.004), nomogram IV patients had higher 5-year CSS with radiotherapy (41.3% vs. 15.6%, p = 0.015), and nomogram V patients had no improvements in 5-year CSS rates with adjuvant treatment (28.9% vs. 16.9%, p = 0.18).Conclusion: The nomogram showed a satisfactory discriminatory ability and calibration for predicting 5-year CSS in synovial sarcoma patients. Based on this nomogram, we stratified synovial sarcoma patients according to risk levels, which enabled us to provide a useful grouping scheme that can inform multimodal risk-adapted treatment in synovial sarcoma.

The Study of Optimization and Matching to Spring and Antiroll Bar Stiffness of Suspension for Multiresponse Target of Whole Vehicle under Sine-Swept Steering Input

This article first leads from the specific double-wishbone suspension and multilink suspension structure form. And then systematically and detailedly analyse the change of spring's stiffness, and antiroll bar's stiffness causes the change of the side slip stiffness and rotation angle of tire, which will lead to the change of tire force, and then affect the dynamic characteristics of the whole vehicle. Based on this, the vehicle dynamics model considering the suspension is established, and the transfer function of the vehicle’s response index to steering wheel angle with coupling spring stiffness and antiroll bar stiffness is derived. Based on the dynamic theory analysis of the suspension and the whole vehicle, the multibody dynamics model of the whole vehicle with front double-wishbone suspension and rear multilink suspension was established. By calculating the frequency response characteristics of the vehicle under the sine-swept input, the frequency response index at the normal steering wheel operating frequency of 0.5 Hz was obtained. In addition, these frequency response indexes at 0.5 Hz were taken as optimization objectives, and the spring stiffness and antiroll bar stiffness of the front and rear suspension were taken as optimization variables, which were optimized by the NSGA-II algorithm. The results show that at 0.5 Hz, the gain value in the frequency response index is reduced, and the delay time is not significantly different from other group schemes, but it is not the worst; the value is within an acceptable range, and the dynamic characteristics of the car in the low frequency range have been improved.

Curvature function renormalization, topological phase transitions, and multicriticality

A recently proposed curvature renormalization group scheme for topological phase transitions defines a generic `curvature function' as a function of the parameters of the theory and shows that topological phase transitions are signalled by the divergence of this function at certain parameters values, called critical points, in analogy with usual phase transitions. A renormalization group procedure was also introduced as a way of flowing away from the critical point towards a fixed point, where an appropriately defined correlation function goes to zero and topological quantum numbers characterising the phase are easy to compute. In this paper, using two independent models - a model in the AIII symmetry class and a model in the BDI symmetry class - in one dimension as examples, we show that there are cases where the fixed point curve and the critical point curve appear to intersect, which turn out to be multi-critical points, and focus on understanding its implications.

Россия на фоне посягательств на объекты нефтяной отрасли в странах Ближнего Востока и Северной Африки

The article examines issues of criminal manifestations in the field of oil infrastructure in the Middle East and North. Particular attention is paid to the study of historical and modern methods of crime committing, information concerning hierarchical schemes of criminal groups, the identity of the offender, corruption in government agencies, including customs services, as well as the huge economic loss suffered by a state and the world economy as a whole. Specific examples of law enforcement practice reflect the reasons that make it difficult to impose sanctions on offenders from international legislation and the practical use of preventive measures in the framework of the problems under study. On the basis of modern analytical materials made by foreign researchers, the paper summarizes government measures to counter illegal challenges, and a positive experience and strategies to prevent crime in this area. The final part of the article describes the variety and distinctive area specificity of criminal manifestations, as well as features similar in the method of crime committing and in the objects of encroachment.

Enfoque Combinado de Word2Vec y 2-grams para la Recuperación de Avisos Clasificados Inmobiliarios Semánticamente Relacionados

La publicación de avisos clasificados de inmuebles se ha convertido en el medio de publicidad preferido tanto para particulares como empresas inmobiliarias. Esto ha provocado un crecimiento importante en la cantidad de avisos, tornando difícil la búsqueda un inmueble adecuado, mucho más si la búsqueda es en una gran ciudad. Este trabajo propone un enfoque basado en técnicas de minería de textos y procesamiento del lenguaje natural para la recuperación de avisos clasificados semánticamente relacionados. Para tal propósito se recolectaron los avisos publicados por el sitio web lavoz.com.ar, mediante un scraper. El título y la descripción de estos avisos fueron empleados para conformar un corpus textual modelado mediante Word2Vec, evaluando la similitud por medio de Word Mover’s Distance. El empleo de 2-grams (bigramas) frente a otros esquemas de agrupación de términos ofrecieron los mejores resultados comparando los resultados con búsquedas sintácticas

Iterated Laurent series over rings and the Contou-Carrère symbol

This article contains a survey of a new algebro-geometric approach for working with iterated algebraic loop groups associated with iterated Laurent series over arbitrary commutative rings and its applications to the study of the higher-dimensional Contou-Carrère symbol. In addition to the survey, the article also contains new results related to this symbol. The higher-dimensional Contou-Carrère symbol arises naturally when one considers deformation of a flag of algebraic subvarieties of an algebraic variety. The non-triviality of the problem is due to the fact that, in the case , for the group of invertible elements of the algebra of -iterated Laurent series over a ring, no representation is known in the form of an ind-flat scheme over this ring. Therefore, essentially new algebro-geometric constructions, notions, and methods are required. As an application of the new methods used, a description of continuous homomorphisms between algebras of iterated Laurent series over a ring is given, and an invertibility criterion for such endomorphisms is found. It is shown that the higher- dimensional Contou-Carrère symbol, restricted to algebras over the field of rational numbers, is given by a natural explicit formula, and this symbol extends uniquely to all rings. An explicit formula is also given for the higher-dimensional Contou-Carrère symbol in the case of all rings. The connection with higher-dimensional class field theory is described. As a new result, it is shown that the higher-dimensional Contou-Carrère symbol has a universal property. Namely, if one fixes a torsion-free ring and considers a flat group scheme over this ring such that any two points of the scheme are contained in an affine open subset, then after restricting to algebras over the fixed ring, all morphisms from the -iterated algebraic loop group of the Milnor -group of degree to the above group scheme factor through the higher-dimensional Contou-Carrère symbol. Bibliography: 67 titles.

Investigating CSR Practices of LIC of India During Pre- and Post-IRDAI’s Compliance, 2013

In modern times, corporate social responsibility (CSR) has become a focus of attention before organisations. The present study purports the critical evaluation of Life Insurance Corporation (LIC) of India pertaining to the CSR activities during the period under the study. The present study includes secondary data through annual reports of the LIC of India from 2010 to 2018. In order to test the hypotheses of the present study, the paired t-test has been applied. The findings of the study reveal that LIC of India has covered around 60 million lives and settled more than 150,000 claims under the group and social security schemes in the year 2017–2018, which is a milestone in the insurance arena. In the year 2017–2018, more than ₹400,000 million had been invested by LIC of India in the social sector, which is a strong indicator of interest of the organisation towards social responsibility. It is also evidenced through this study that there is no significant difference between pre- and post-IRDAI’s compliance, 2013 pertaining to CSR practices of LIC of India.

Machine-Learning-Based User Group and Beam Selection for Coordinated Millimeter-wave Systems

In this paper, to improve spectral efficiency and mitigate interference in coordinated millimeter-wave systems, we proposes an optimal user group and beam selection scheme. The proposed scheme improves spectral efficiency by mitigating intra- and inter-cell interferences (ICI). By examining the effective channel capacity for all possible user combinations, user combinations and beams with minimized ICI can be selected. However, implementing this in a dense environment of cells and users requires highly complex computational abilities, which we have investigated applying multiclass classifiers based on machine learning. Compared with the conventional scheme, the numerical results show that our proposed scheme can achieve near-optimal performance, making it an attractive option for these systems.