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Перегляд Algebra and Discrete Mathematics, 2018, Vol. 26, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2018, Vol. 26, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Type conditions of stable range for identification of qualitative generalized classes of rings 
    Zabavsky, B.V. (Algebra and Discrete Mathematics, 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 ...
  • Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case 
    Vadhel, P.; Visweswaran, S. (Algebra and Discrete Mathematics, 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)*. Recall ...
  • Algebraic Morse theory and homological perturbation theory 
    Sköldberg, E. (Algebra and Discrete Mathematics, 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.
  • On the saturations of submodules 
    Paudel, L.; Tchamna, S. (Algebra and Discrete Mathematics, 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 ...
  • On the anticommutativity in Leibniz algebras 
    Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 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 finite groups with Hall normally embedded Schmidt subgroups 
    Kniahina, V.N.; Monakhov, V.S. (Algebra and Discrete Mathematics, 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 subgroups ...
  • On regular torsionless S-posets 
    Khosravi, R. (Algebra and Discrete Mathematics, 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 ...
  • Quasi-valuation maps based on positive implicative ideals in BCK-algebras 
    Young Bae Jun; Kyoung Ja Lee; Seok Zun Song (Algebra and Discrete Mathematics, 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 ...
  • Module decompositions via Rickart modules 
    Harmanci, A.; Ungor, B. (Algebra and Discrete Mathematics, 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 ...
  • Cancellable elements of the lattice of semigroup varieties 
    Gusev, S.V.; Skokov, D.V.; Vernikov, B.M. (Algebra and Discrete Mathematics, 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 ...
  • Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem 
    Gómez González, F.A.; Velasquez, R. (Algebra and Discrete Mathematics, 2018)
    An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superal-gebras A with solvable radical N, N² = 0, and such that A/N ≅ Jospn|2m(F), where F is a field of characteristic zero. ...
  • Variants of a lattice of partitions of a countable set 
    Desiateryk, O.O.; Ganyushkin, O.G. (Algebra and Discrete Mathematics, 2018)
    In this paper we consider the ordered by inclusion lattice Part(M) of all partitions of a countable set M. The lattice Part(M) is a semigroup with respect to the operation Λ which maps two partitions to their greatest ...
  • Unimodality polynomials and generalized Pascal triangles 
    Ahmia, M.; Belbachir, H. (Algebra and Discrete Mathematics, 2018)
    This paper is an extension of Boros and Moll’s result “A criterion for unimodality”, who proved that the polynomial P(x + 1) is unimodal.
  • V.I. Yanchevskii is 70 
    Автор відсутній (Algebra and Discrete Mathematics, 2018)

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