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

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

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  • 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) ∗ . ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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.
  • 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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