Digital Repository of Luhansk Taras Shevchenko National University

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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  • Uniform ball structures 
    Protasov, I. V. (Луганский национальный университет им. Т. Шевченко, 2003-01-31)
  • Unimodality polynomials and generalized Pascal triangles 
    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 ...
  • Unitarizable and non-unitarizable represenations of algebras generated by idempotents 
    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 ...
  • Virtual endomorphisms of groups 
    Nekrashevych, Volodymyr (Луганский национальный университет им. Т. Шевченко, 2002-10-21)
  • Weak equivalence of representations of Kleinian 4-group 
    Plakosh, A. (2018)
    We give a classification of representations of the Kleinian 4-group up to weak equivalence.
  • Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets 
    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 ...
  • Wreath product of Lie algebras and Lie algebras associated with Sylow p-subgroups of finite symmetric groups 
    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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