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Перегляд Algebra and Discrete Mathematics, 2013, Vol. 16, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2013, Vol. 16, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Joseph Solomonovich Ponizovskii (1928 – 2012) 
    Автор відсутній (Algebra and Discrete Mathematics, 2013)
  • 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 ...
  • 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.
  • Inverse semigroups generated by group congruences. The Möbius functions 
    Schwab, E.D. (Algebra and Discrete Mathematics, 2013)
    The computation of the Möbius function of a Möbius category that arises from a combinatorial inverse semigroup has a distinctive feature. This computation is done on the field of finite posets. In the case of two combinatorial ...
  • Ideals in (Z⁺, ≤D) 
    Sagi, S. (Algebra and Discrete Mathematics, 2013)
    A convolution is a mapping C of the set Z⁺ of positive integers into the set P(Z⁺) of all subsets of Z⁺ such that every member of C(n) is a divisor of n. If for any n, D(n) is the set of all positive divisors of n, then D ...
  • 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 ...
  • On Markov graphs 
    Kozerenko, S. (Algebra and Discrete Mathematics, 2013)
    We investigate graph-theoretical properties of Markov graphs from dynamical systems.
  • Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators) 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2013)
    This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure ...
  • 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 ...
  • (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 ...
  • Labelling matrices and index matrices of a graph structure 
    Dinesh, T.; Ramakrishnan, T.V. (Algebra and Discrete Mathematics, 2013)
    The concept of graph structure was introduced by E. Sampathkumar in 'Generalised Graph Structures', Bull. Kerala Math. Assoc., Vol 3, No.2, Dec 2006, 65-123. Based on the works of Brouwer, Doob and Stewart, R.H. Jeurissen ...
  • 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 ...
  • On locally nilpotent derivations of Fermat rings 
    Brumatti, P.; Veloso, M. (Algebra and Discrete Mathematics, 2013)
    In this note we prove that the ring B²n has non-zero irreducible locally nilpotent derivations, which are explicitly presented, and that its ML-invariant is C.
  • On modular representations of semigroups Sp × Tp 
    Bondarenko, V.; Kostyshyn, E. (Algebra and Discrete Mathematics, 2013)
    Let p be simple, and let Sp and Tp be the symmetric group and the symmetric semigroup of degree p, respectively. The theorem of this paper says hat the direct product Sp × Tp are of wild representation type over any field ...
  • 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 ...

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