Browsing 2017 by Title

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  • Quantum Boolean algebras 
    Díaz, R. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces.We study quantum Boolean algebras from the logical and the set theoretical viewpoints.
  • Representations of nodal algebras of type E 
    Drozd, Y.; Golovashchuk, N.; Zembyk, V. (2017)
    We define representation types of nodal algebras of type E.
  • Some aspects of Leibniz algebra theory 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is ...
  • Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn 
    Chandra, S.; Prakash, O.; Suthar, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let Zn be the finite commutative ring of residue classes modulo n with identity and Γ(Zn) be its zero-divisor graph. In this paper, we investigate some properties of nilradical graph, denoted by N(Zn) and non-nilradical ...
  • Some remarks on Φ-sharp modules 
    Darani, A.Y.; Rahmatinia, M. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    The purpose of this paper is to introduce some new classes of modules which is closely related to the classes of sharp modules, pseudo-Dedekind modules and T V -modules. In this paper we introduce the concepts of ...
  • The edge chromatic number of ΓI (R) 
    Kala, R.; Mallika, A.; Selvakumar, K. (2017)
    For a commutative ring R and an ideal I of R, the ideal-based zero-divisor graph is the undirected graph ΓI (R) with vertices {x ∈ R−I : xy ∈ I for some y ∈ R−I}, where distinct vertices x and y are adjacent if and only ...
  • The R∞ property for Houghton’s groups 
    Jo, J. H.; Lee, J. B.; Lee, S. R. (2017)
    We study twisted conjugacy classes of a family of groups which are called Houghton’s groups Hn (n ∈ N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton’s groups Hn have the ...
  • Total global neighbourhood domination 
    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 ...
  • Twin signed domination numbers in directed graphs 
    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 ...
  • 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 ...

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