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Browsing Algebra and Discrete Mathematics. - № 2 (24). - 2017 by Title

Browsing Algebra and Discrete Mathematics. - № 2 (24). - 2017 by Title

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  • 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, ...
  • Dickson’s theorem for Bol loops 
    Movsisyan, Yu. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.
  • Embeddings of (proper) power graphs of finite groups 
    Doostabadi, A.; Farrokhi, D.G. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of ...
  • Lattice rings: an interpretation of L-fuzzy rings as habitual algebraic structures 
    Kurdachenko, L. A; Subbotin, I. Ya.; Yashchuk, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to ...
  • On disjoint union of M-graphs 
    Kozerenko, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Given a pair (X, σ) consisting of a finite tree X and its vertex self-map σ one can construct the corresponding Markov graph Γ(X, σ) which is a digraph that encodes σ-covering relation between edges in X. M-graphs are ...
  • On locally finite groups whose cyclic subgroups are GNA-subgroups 
    Pypka, A.A. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    In this paper we obtain the description of locally finite groups whose cyclic subgroups are GNA-subgroups.
  • On the difference between the spectral radius and the maximum degree of graphs∗ 
    Oboudi, M.R. (ДЗ "ЛНУ імені Тараса Шевченка", 2017)
    Let G be a graph with the eigenvalues λ1(G) >· · · > λn(G). The largest eigenvalue of G, λ1(G), is called the spectral radius of G. Let β(G) = ∆(G) − λ1(G), where ∆(G) is the maximum degree of vertices of G. It is known ...
  • On the genus of the annihilator graph of a commutative ring 
    Chelvam, T. T.; Selvakumar, K. (2017)
    Let R be a commutative ring and Z(R) ∗ be its set of non-zero zero-divisors. The annihilator graph of a commu- tative ring R is the simple undirected graph AG(R) with vertices Z(R) ∗ , and two distinct vertices ...
  • 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 ...
  • 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 ...
  • 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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