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Перегляд Algebra and Discrete Mathematics, 2020, Vol. 30, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2020, Vol. 30, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Comaximal factorization in a commutative Bezout ring 
    Zabavsky, B.V.; Romaniv, O.; Kuznitska, B.; Hlova, T. (Algebra and Discrete Mathematics, 2020)
    We study an analogue of unique factorization rings in the case of an elementary divisor domain.
  • Modules with minimax Cousin cohomologies 
    Vahidi, A. (Algebra and Discrete Mathematics, 2020)
    Let R be a commutative Noetherian ring with non-zero identity and let X be an arbitrary R-module. In this paper, we show that if all the cohomology modules of the Cousin complex for X are minimax, then the following hold ...
  • On small world non-Sunada twins and cellular Voronoi diagrams 
    Ustimenko, V. (Algebra and Discrete Mathematics, 2020)
    Special infinite families of regular graphs of unbounded degree and of bounded diameter (small world graphs) are considered. Two families of small world graphs Gi and Hi form a family of non-Sunada twins if Gi and Hi are ...
  • On growth of generalized Grigorchuk's overgroups 
    Samarakoon, S.T. (Algebra and Discrete Mathematics, 2020)
    Grigorchuk’s Overgroup Ĝ, is a branch group of intermediate growth. It contains the first Grigorchuk’s torsion group G of intermediate growth constructed in 1980, but also has elements of infinite order. Its growth is ...
  • F-supplemented modules 
    Özdemir, S. (Algebra and Discrete Mathematics, 2020)
    Let R be a ring, let M be a left R-module, and let U, V, F be submodules of M with F proper. We call V an F-supplement of U in M if V is minimal in the set F ⊆ X ⊆ M such that U+X = M, or equivalently, F ⊆ V , U+V = M and ...
  • An elementary description of K₁(R) without elementary matrices 
    Hüttemann, T.; Zhang, Z. (Algebra and Discrete Mathematics, 2020)
    Let R be a ring with unit. Passing to the colimit with respect to the standard inclusions GL(n,R) → GL(n+1,R) (which add a unit vector as new last row and column) yields, by definition, the stable linear group GL(R); the ...
  • Witt equivalence of function fields of conics 
    Gladki, P.; Marshall, M. (Algebra and Discrete Mathematics, 2020)
    Two fields are Witt equivalent if, roughly speaking, they have the same quadratic form theory. Formally, that is to say that their Witt rings of symmetric bilinear forms are isomorphic. This equivalence is well understood ...
  • Gentle m-Calabi-Yau tilted algebras 
    Garcia Elsener, A. (Algebra and Discrete Mathematics, 2020)
    We prove that all gentle 2-Calabi–Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the m-cluster-tilted algebras of type A and à , we prove ...
  • On the lattice of weak topologies on the bicyclic monoid with adjoined zero 
    Bardyla, S.; Gutik, O. (Algebra and Discrete Mathematics, 2020)
    A Hausdorff topology τ on the bicyclic monoid with adjoined zero C⁰ is called weak if it is contained in the coarsest inverse semigroup topology on C⁰. We show that the lattice W of all weak shift-continuous topologies on ...
  • Zero-sum subsets of decomposable sets in Abelian groups 
    Banakh, T.; Ravsky, A. (Algebra and Discrete Mathematics, 2020)
    A subset D of an abelian group is decomposable if ∅ ≠ D ⊂ D + D. In the paper we give partial answers to an open problem asking whether every finite decomposable subset D of an abelian group contains a non-empty subset ...
  • On the edge-Wiener index of the disjunctive product of simple graphs 
    Azari, M.; Iranmanesh, A. (Algebra and Discrete Mathematics, 2020)
    The edge-Wiener index of a simple connected graph G is defined as the sum of distances between all pairs of edges of G where the distance between two edges in G is the distance between the corresponding vertices in the ...
  • Fedir Mykolayovych Lyman (22.02.1941–13.06.2020) 
    Автор відсутній (Algebra and Discrete Mathematics, 2020)
    The famous Ukrainian mathematician and educator, Doctor of Physical and Mathematical Sciences, Professor Fedir Mykolayovych Lyman passed away on June 13, 2020 after a long illness.

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