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Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

Browsing Журнал "Алгебра и дискретная математика" ("Algebra and Discrete Mathematics") by Title

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  • Chernousova, Zh.T.; Dokuchaev, M.A.; Khibina, M.A.; Kirichenko, V.V.; Miroshnichenko, S.G.; Zhuravlev, V.N. (Луганский национальный университет им. Т. Шевченко, 2003-03-28)
  • Gutik, Oleg V.; Pavlyk, Kateryna P. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies on the infinite semigroup of matrix units B such that (B , ) is a semitopological (inverse) semigroup are ...
  • Ercan, Selami (Луганский национальный университет им. Т. Шевченко, 2004-04-09)
  • S. V. S. R., Raju (2017)
    A subset D of the vertex set of a connected graph G is called a total global neighbourhood dominating set(tgnd-set) of G if and only if D is a total dominating set of G as well as GN , where GN is the neighbourhood graph ...
  • Atapour, M.; Norouzian, S.; Sheikholeslami, S.M.; Volkmann, L. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Let D = (V, A) be a finite simple directed graph (shortly digraph). A function f : V −→ {−1, 1} is called a twin signed dominating function (TSDF) if f(N −[v]) > 1 and f(N +[v]) > 1 for each vertex v ∈ V . The twin signed ...
  • Shirikov, Evgenij N. (ДЗ "Луганський національний університет імені Тараса Шевченка, 2005)
    The paper is devoted to classification of two-generated graded algebras. We show that under some general assumptions there exist two classes of these algebras, namely quantum polynomials and Jordanian plane. We study prime ...
  • Frisk, Anders (Луганский национальный университет им. Т. Шевченко, 2004)
    We study the class of standardly stratified alge- bras introduced by Cline, Parshall and Scott, and its subclass of the so-called weakly properly stratified algebras, which generalizes the class of properly stratified ...
  • Zabavsky, B. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    This article deals mostly with the following question: when the classical ring of quotients of a commutative ring is a ring of stable range 1? We introduce the concepts of a ring of (von Neumann) regular range 1, a ring ...
  • Protasov, I. V. (Луганский национальный университет им. Т. Шевченко, 2003-01-31)
  • Ahmia, M.; Belbachir, H. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    In this paper, we show that if P(x) = Pm k=0 akx k is a polynomial with nondecreasing, nonnegative coefficients, then the coefficients sequence of P(x s + · · · + x + 1) is unimodal for each integer s > 1. This ...
  • Popovych, Stanislav; Turowska, Lyudmila (Луганский национальный университет им. Т. Шевченко, 2004)
    The problem of unitarization of representations of algebras generated by idempotents with linear relations is studied. Construction of non-unitarizable representations for some subintervals of continuous spectrum is ...
  • Nekrashevych, Volodymyr (Луганский национальный университет им. Т. Шевченко, 2002-10-21)
  • Plakosh, A. (2018)
    We give a classification of representations of the Kleinian 4-group up to weak equivalence.
  • Farsad, F.; Madanshekaf, A. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2017)
    Let S be a pomonoid. In this paper, Pos-S, the category of S-posets and S-poset maps, is considered. One of the main aims of this paper is to draw attention to the notion of weak factorization systems in Pos-S. We show ...
  • Sushchansky, Vitaly I.; Netreba, Nataliya V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We define a wreath product of a Lie algebra L with the one-dimensional Lie algebra L1 over Fp and determine some properties of this wreath product. We prove that the Lie algebra associated with the Sylow p-subgroup of ...

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