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Перегляд Algebra and Discrete Mathematics, 2015, Vol. 20, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2015, Vol. 20, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • Quasi-Euclidean duo rings with elementary reduction of matrices 
    Romaniv, O.; Sagan, A. (Algebra and Discrete Mathematics, 2015)
    We establish necessary and sufficient conditions under which a class of quasi-Euclidean duo rings coincides with a class of rings with elementary reduction of matrices. We prove that a Bezout duo ring with stable range 1 ...
  • Free abelian dimonoids 
    Zhuchok, Y. (Algebra and Discrete Mathematics, 2015)
    We construct a free abelian dimonoid and describe the least abelian congruence on a free dimonoid. Also we show that free abelian dimonoids are determined by their endomorphism semigroups.
  • A morphic ring of neat range one 
    Pihura, O.; Zabavsky, B. (Algebra and Discrete Mathematics, 2015)
    We show that a commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat element. We also show that a commutative morphic ring R has a neat range one if and only if ...
  • A Group-theoretic Approach to Covering Systems 
    Jones, L.; White, D. (Algebra and Discrete Mathematics, 2015)
    In this article, we show how group actions can be used to examine the set of all covering systems of the integers with a fixed set of distinct moduli.
  • On strongly almost m-ω₁-pʷ⁺ⁿ-projective abelian p-groups 
    Danchev, P. (Algebra and Discrete Mathematics, 2015)
    For any non-negative integers man dn we define the class of strongly almost m-ω₁-pʷ⁺ⁿ-projective groups which properly encompasses the classes of strongly m-ω₁-pω⁺ⁿ-projective groups and strongly almost ω₁-pʷ⁺ⁿ-projective ...
  • Cyclic left and torsion-theoretic spectra of modules and their relations 
    Maloid-Glebova, M. (Algebra and Discrete Mathematics, 2015)
    In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of ...
  • On the le-semigroups whose semigroup of bi-ideal elements is a normal band 
    Bhuniya, A.K.; Kumbhakar, M. (Algebra and Discrete Mathematics, 2015)
    It is well known that the semigroup B(S) of all bi-ideal elements of an le-semigroup S is a band if and only if S is both regular and intra-regular. Here we show that B(S) is a band if and only if it is a normal band and ...
  • Vector bundles on projective varieties and representations of quivers 
    Jardim, M.; Prata, D.M. (Algebra and Discrete Mathematics, 2015)
    We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain ...
  • Vector bundles on projective varieties and representations of quivers 
    Jardim, M.; Prata, D.M. (Algebra and Discrete Mathematics, 2015)
    We present equivalences between certain categories of vector bundles on projective varieties, namely cokernel bundles, Steiner bundles, syzygy bundles, and monads, and full subcategories of representations of certain ...
  • Constructing R-sequencings and terraces for groups of even order 
    Ollis, M. (Algebra and Discrete Mathematics, 2015)
    The problem of finding R-sequencings for abelian groups of even orders has been reduced to that of finding R*-sequencings for abelian groups of odd orders except in the case when the Sylow 2-subgroup is a non-cyclic ...
  • On solvable Z₃-graded alternative algebras 
    Goncharov, M. (Algebra and Discrete Mathematics, 2015)
    Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded algebra. The main result of the paper is the following: if A0 is solvable and the characteristic of the ground field not equal 2,3 and 5, then A is solvable.
  • The lower bound for the volume of a three-dimensional convex polytope 
    Kawaguchi, R. (Algebra and Discrete Mathematics, 2015)
    In this paper, we provide a lower bound for the volume of a three-dimensional smooth integral convex polytope having interior lattice points. Our formula has a quite simple form compared with preliminary results. Therefore, ...

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