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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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  • 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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