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  • A decomposition theorem for semiprime rings 
    Khibina, Marina (Луганский национальный университет им. Т. Шевченко, 2005)
    A ring A is called an FDI-ring if there exists a decomposition of the identity of A in a sum of finite number of pairwise orthogonal primitive idempotents. We call a primitive idempotent e artinian if the ring eAe is ...
  • A family of doubly stochastic matrices involving chebyshev polynomials 
    Ahmed, T.; Caballero, J.M.R. (2019)
    A doubly stochastic matrix is a square matrix A = (aij ) of non-negative real numbers such that P i aij = P j aij = 1. The Chebyshev polynomial of the first kind is defined by the recur- rence relation T0(x) = ...
  • A formula for the number of weak endomorphisms on paths 
    Knauer, U.; Pipattanajinda, N. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    A weak endomorphisms of a graph is a mapping on the vertex set of the graph which preserves or contracts edges. In this paper we provide a formula to determine the cardinalities of weak endomorphism monoids of finite ...
  • A letter to ADM Editorial board 
    Varbanets, P. D.; Savastru, O. V. (Луганский национальный университет им. Т. Шевченко, 2005)
  • A methodology for reducing the neuro-psychic stress of students with deviations in the state of somatic health 
    Babich, V.; Boychuk, Y.; Poluljasshenko, Y.; Zaytsev, V.; Malkova, Y. (2018)
    Objective: reduction of neuro-psychic stress of students with deviations in the state of somatic health; determination of the relationship between the state of neuro-psychic stress and the development of physical qualities ...
  • A model developed for teaching an adaptive system of recognising cyberattacks among nonuniform queries in information systems 
    Lakhno, V.; Mohylnyi, H.; Donchenko, V.; Smahina, O.; Pyroh, M.; Лахно, В.; Могільний, Г.; Донченко, В.; Смагіна, О.; Пурох, М. (2016)
    Запропоновано математичну модель для модуля системи інтелектуального розпізнавання кібератак для неоднорідних потоків запитів та мережних класів кібератак. Модель враховує неоднорідні вхідні потоки запитів та можливість ...
  • A necessary condition to test the minimality of generalized linear sequential machines using the theory of near-se 
    Kanduru Venkata Krishna; Niladri Chatterjee (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    In this work first we study the properties of nearsemirings to introduce an -radical. Then we observe the role of near-semirings in generalized linear sequential machines, and we test the minimality through the radical.
  • A new way to construct 1-singular Gelfand-Tsetlin modules 
    Zadunaisky, P. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n, C) related to a 1-singular GT- tableau defined in [6]. We begin by reframing the classical construc- tion of generic Gelfand-Tsetlin ...
  • A note on c-normal subgroups of finite groups 
    Skiba, Alexander N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some its subgroup D satisfying 1 <|D| < |P| and study the structure of G under assumption that all subgroups H of P with |H| = |D| are c-normal in G.
  • A note on Hall S-permutably embedded subgroups of finite groups 
    Sinitsa, D.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a finite group. Recall that a subgroup A of G is said to permute with a subgroup B if AB = BA. A subgroup A of G is said to be S-quasinormal or S-permutable in G if A permutes with all Sylow subgroups of G. ...
  • A note on maximal ideals in ordered semigroups 
    Kehayopulu, N.; Ponizovskii, J.; Tsingelis, M. (Луганский национальный университет им. Т. Шевченко, 2002-12-06)
  • A note on simplicity of contact Lie algebras over GF(2) 
    Zargeh, C. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, ...
  • A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices” 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.
  • A note to my paper “Multi-algebras from the viewpoint of algebraic logic” 
    Cırulis, Janis (Луганский национальный университет им. Т. Шевченко, 2003)
    The definition of a resolvent, introduced in the paper mentioned in the title, is simplified, and some misprints in that paper are corrected.
  • A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees” 
    Lavrenyuk, Yaroslav V.; Sushchansky, Vitaly I. (Луганский национальный университет им. Т. Шевченко, 2005)
    The results on automorphisms of homogeneous alternating groups are corrected and improved.
  • A Ramsey algebraic study of matrices 
    Teoh, Z .Y.; Teh, W.C. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many classical combinatorial results in a unifying ...
  • A random Bockstein operator 
    Zabka, M. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has ...
  • A survey article on some subgroup embeddings and local properties for soluble PST-groups 
    Beidleman, J. C. (2017)
    Let G be a group and p a prime number. G is said to be a Yp-group if whenever K is a p-subgroup of G then every subgroup of K is an S-permutable subgroup in NG(K). The group G is a soluble PST-group if and only if G is ...
  • A Systematic Approach to the Development of Basic Models of the Behavior of Business Entities and its Harmonization 
    Mykytenko, V.; Chuprina, M.; Serhiienko, S. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2022)
    The authors have formed and substantiated the basic models of behavior of a plurality of business entities, presented in the form of combined conceptual and analytical model solutions, taking into account both a clear ...
  • A way of computing the Hilbert series 
    Haider, A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let S = K[x1, x2, . . . , xn] be a standard graded K-algebra for any field K. Without using any heavy tools of com- mutative algebra we compute the Hilbert series of graded S-module S/I, where I is a monomial ideal.