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Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, Vol. 16 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, Vol. 16 за назвою

Сортувати за: Порядок: Результатів:

  • On one class of partition polynomials 
    Zatorsky, R.; Stefluk, S. (Algebra and Discrete Mathematics, 2013)
    We consider relations between one class of partition polynomials, parafunctions of triangular matrices (tables), and linear recurrence relations.
  • On one class of semiperfect semidistributive rings 
    Kasyanuk, M. (Algebra and Discrete Mathematics, 2013)
    In this paper we consider the Artinian semidistributive rings.
  • On some linear groups, having a big family of G-invariant subspaces 
    Kurdachenko, L.A.; Sadovnichenko, A.V. (Algebra and Discrete Mathematics, 2013)
    Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called ...
  • On the relation between completeness and H-closedness of pospaces without infinite antichains 
    Yokoyama, T. (Algebra and Discrete Mathematics, 2013)
    We study the relation between completeness and H-closedness for topological partially ordered spaces. In general, a topological partially ordered space with an infinite antichain which is even directed complete and ...
  • On the structure of skew groupoid rings which are Azumaya 
    Flores, D.; Paques, A. (Algebra and Discrete Mathematics, 2013)
    In this paper we present an intrinsic description of the structure of an Azumaya skew groupoid ring, having its center contained in the respective ground ring, in terms of suitable central Galois algebras and commutative ...
  • On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field 
    Nesteruk, V. (Algebra and Discrete Mathematics, 2013)
    In this note, we consider the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field. P. Bruin [1] defined this pairing over finite field k: ker ˆφ(k) × coker(φ(k)) ⟶ k∗, and proved its ...
  • Petro Mykhailovych Gudivok 
    Babych, M.; Bondarenko, V.M.; Drozd, Yu.; Kirichenko, V.; Shapochka, I. (Algebra and Discrete Mathematics, 2013)
    We present a brief scientific biography of Professor Petro M. Gudivok.
  • Power graph of finite abelian groups 
    Tamizh Chelvam, T.; Sattanathan, M. (Algebra and Discrete Mathematics, 2013)
    Let G be a group. The power graph ΓP(G) of G is a graph with vertex set V(ΓP(G)) = G and two distinct vertices x and y are adjacent in ΓP(G) if and only if either xˡ = y or yʲ = x, where 2 ≤ i, j ≤ n. In this paper, we ...
  • Reducibility and irreducibility of monomial matrices over commutative rings 
    Bondarenko, V.M.; Bortos, M.Yu.; Dinis, R.F.; Tylyshchak, A.A. (Algebra and Discrete Mathematics, 2013)
  • Regular pairings of functors and weak (co)monads 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2013)
    For functors L : A → B and R : B → A between any categories A and B, a pairing is defined by maps, natural in A ∈ A and B ∈ B, MorB(L(A), B) ↔ MorA(A, R(B)). (L, R) is an adjoint pair provided α (or β) is a bijection. ...
  • Relative symmetric polynomials and money change problem 
    Shahryari, M. (Algebra and Discrete Mathematics, 2013)
    This article is devoted to the number of non-negative solutions of the linear Diophantine equation a₁t₁ + a₂t₂ + ⋯ + antn = d, where a₁,…,an, and d are positive integers. We obtain a relation between the number of solutions ...
  • Representations of nodal algebras of type A 
    Drozd, Yu.; Zembyk, V. (Algebra and Discrete Mathematics, 2013)
    We define nodal finite dimensional algebras and describe their structure over an algebraically closed field. For a special class of such algebras (type A) we find a criterion of tameness.
  • Rostislav I . Grigorchuk. To the 60th anniversary 
    Автор відсутній (Algebra and Discrete Mathematics, 2013)
    On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches ...
  • Serial group rings of finite groups. p-solvability 
    Kukharev, A.; Puninski, G. (Algebra and Discrete Mathematics, 2013)
    We prove that for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups ...
  • The diagonal limits of Hamming spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2013)
    We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the ...
  • The monoid of endomorphisms of disconnected hypergraphs 
    Zhuchok, Yu.V. (Algebra and Discrete Mathematics, 2013)
    We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study ...
  • The p–gen nature of M₀(V ) (I) 
    Scott, S.D. (Algebra and Discrete Mathematics, 2013)
    Let V be a finite group (not elementary two) and p ≥ 5 a prime. The question as to when the nearring M₀(V) of all zero-fixing self-maps on V is generated by a unit of order p is difficult. In this paper we show M₀(V) is ...
  • The total torsion element graph of semimodules over commutative semirings 
    Ebrahimi Atani, S.; Esmaeili Khalil Saraei, F. (Algebra and Discrete Mathematics, 2013)
    We introduce and investigate the total torsion element graph of semimodules over a commutative semiring with non-zero identity. The main purpose of this paper is to extend the definition and results given in [2] to more ...
  • Weighted zero-sum problems over C₃ʳ 
    Godinho, H.; Lemos, A.; Marques, D. (Algebra and Discrete Mathematics, 2013)
    Let Cn be the cyclic group of order n and set sA(Crn) as the smallest integer ℓ such that every sequence S in Cʳn of length at least ℓ has an A-zero-sum subsequence of length equal to exp(Cʳn), for A = {−1, 1}. In this ...
  • (λ, μ)-fuzzy interior ideals of ordered Г-semigroups 
    Feng, Yu.; Corsini, P. (Algebra and Discrete Mathematics, 2013)
    For all λ, μ ∈ [0, 1] such that λ < μ, we first introduced the definitions of (λ, μ)-fuzzy ideals and (λ, μ)-fuzzy interior ideals of an ordered Γ-semigroup. Then we proved that in regular and in intra-regular ordered ...

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