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Browsing Algebra and Discrete Mathematics. - № 1 (26). - 2018 by Title

Browsing Algebra and Discrete Mathematics. - № 1 (26). - 2018 by Title

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  • Algebraic Morse theory and homological perturbation theory 
    Sköldberg, E. (2018)
    We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.
  • Cancellable elements of the lattice of semigroup varieties 
    Gusev, S. V.; Skokov, D.V.; Vernikov, B. M . (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element ...
  • Module decompositions via Rickart modules 
    Harmanci, A.; Ungor, B. (2018)
    This work is devoted to the investigation of module decompositions which arise from Rickart modules, socle and radical of modules. In this regard, the structure and several illustrative examples of inverse split modules ...
  • On finite groups with Hall normally embedded Schmidt subgroups 
    Kniahina, V. N.; Monakhov, V. S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper ...
  • On regular torsionless S-posets 
    Khosravi, R. (2018)
    This paper shall be concerned with the notion of regular torsionless in the category of S-posets. Besides elementary basic properties of regular torsionless S-posets, we consider cyclic regular torsionless S-posets and ...
  • On the anticommutativity in Leibniz algebras 
    Kurdachenko, L.; Semko, N.; Subbotin, I. (2018)
    Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency ...
  • On the saturations of submodules 
    Paudel, L.; Tchamna, S. (2018)
    Let R ⊆ S be a ring extension, and let A be an R-submodule of S. The saturation of A (in S) by τ is set A[τ] = {x ∈ S : tx ∈ A for some t ∈ τ}, where τ is a multiplicative subset of R. We study properties of saturations ...
  • Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem 
    González, F. G.; Velásquez, R. (2018)
    An analogue of the Wedderburn Principal The- orem (WPT) is considered for finite-dimensional Jordan superal- gebras A with solvable radical N , N 2 = 0, and such that A/N ∼= Jospn|2m(F), where F is a field of ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case 
    Vadhel, P.; Visweswaran, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The rings considered in this article are nonzero commutative with identity which are not fields. Let R be a ring. We denote the collection of all proper ideals of R by I(R) and the collection I(R)\{(0)} by I(R) ∗ . ...
  • Quasi-valuation maps based on positive implicative ideals in BCK-algebras 
    Jun, Y. B.; Lee, K. J.; Song, S. Z. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated.The relationship between an I-quasi-valuation map and a PI-quasivaluation map is examined. Conditions for an ...
  • Type conditions of stable range for identification of qualitative generalized classes of rings 
    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 ...
  • 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 ...

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