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Перегляд Algebra and Discrete Mathematics, 2014, Vol. 17, Vol. 18 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2014, Vol. 17, Vol. 18 за датою випуску

Сортувати за: Порядок: Результатів:

  • Non-contracting groups generated by (3,2)-automata 
    Davis, N.; Elder, M.; Reeves, L. (Algebra and Discrete Mathematics, 2014)
    We add to the classification of groups generated by 3-state automata over a 2-letter alphabet given by Bondarenko et al., by showing that a number of the groups in the classification are non-contracting. We show that the ...
  • Algorithmic computation of principal posets using Maple and Python 
    Gasiorek, M.; Simson, D.; Zajac, K. (Algebra and Discrete Mathematics, 2014)
    We present symbolic and numerical algorithms for a computer search in the Coxeter spectral classification problems. One of the main aims of the paper is to study finite posets I that are principal, i.e., the rational ...
  • Semiabelian and self-returning of points of n-ary groups 
    Kulazhenko, Yu.I. (Algebra and Discrete Mathematics, 2014)
    In this article new criterian Semiabelian of n-ary Groups is expressed through Self-Returning free point comparatively element specially built to sequences, consisting of mediums of all sides free polygonal figure with ...
  • A Galois-Grothendieck-type correspondence for groupoid actions 
    Paques, A.; Tamusiunas, T. (Algebra and Discrete Mathematics, 2014)
    In this paper we present a Galois-Grothendiecktype correspondence for groupoid actions. As an application a Galois-type correspondence is also given.
  • On the subset combinatorics of G-spaces 
    Protasov, I.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2014)
    Let G be a group and let X be a transitive G-space. We classify the subsets of X with respect to a translation invariant ideal J in the Boolean algebra of all subsets of X, introduce and apply the relative combinatorical ...
  • Some combinatorial problems in the theory of partial transformation semigroups 
    Umar, A. (Algebra and Discrete Mathematics, 2014)
    Let Xn = {1,2,…,n}. On a partial transformation α : Dom α ⊆ Xn → Im α ⊆ Xn of Xn the following parameters are defined: the breadth or width of α is ∣ Dom α ∣, the collapse of α is c(α) = ∣ ∪t∈Imα{tα⁻¹ :∣ tα⁻¹ ∣≥ 2} ∣, fix ...
  • Chromatic number of graphs with special distance sets, I 
    Yegnanarayanan, V. (Algebra and Discrete Mathematics, 2014)
    Given a subset D of positive integers, an integer distance graph is a graph G(Z, D) with the set Z of integers as vertex set and with an edge joining two vertices u and v if and only if |u−v| ∈ D. In this paper we consider ...
  • Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication 
    Abdioglu, C.; Şahinkaya, S.; KÖR, A. (Algebra and Discrete Mathematics, 2014)
    Let R be a ring with an endomorphism σ. We introduce (σ, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ≤ n and n ≥ 2, R[x; σ] is a reduced ...
  • Colour class domination numbers of some classes of graphs 
    Venkatakrishnan, Y.; Swaminathan, V. (Algebra and Discrete Mathematics, 2014)
    We compute the colour class domination number of fan graphs, double fan graphs, Helm graphs, flower graphs and sun flower graphs.
  • On one class of algebras 
    Zhuchok, Yul.V. (Algebra and Discrete Mathematics, 2014)
    In this paper a g-dimonoid which is isomorphic to the free g-dimonoid is given and a free n-nilpotent g-dimonoid is constructed. We also present the least n-nilpotent congruence on a free g-dimonoid and give numerous ...
  • Characterizing semigroups with commutative superextensions 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2014)
    We characterize semigroups X whose semigroups of filters φ(X), maximal linked systems λ(X), linked upfamilies N₂(X), and upfamilies υ(X) are commutative.
  • Densities, submeasures and partitions of groups 
    Banakh, T.; Protasov, I.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2014)
    In 1995 in Kourovka notebook the second author asked the following problem: is it true that for each partition G=A₁ ∪ ⋯ ∪ An of a group G there is a cell Ai of the partition such that G = FAiA⁻¹i for some set F ⊂ G of ...
  • The word problem in Hanoi Towers groups 
    Bondarenko, I. (Algebra and Discrete Mathematics, 2014)
    We prove that the elements of the Hanoi Towers groups Hm have depth bounded from above by a poly-logarithmic function O(logm⁻²n), where n is the length of an element. Therefore the word problem in groups Hm is solvable in ...
  • A new characterization of alternating groups 
    Asboei, A.K.; Amiri, S.S.; Iranmanesh, A. (Algebra and Discrete Mathematics, 2014)
    Let G be a finite group and let πe(G) be the set of element orders of G. Let k ∈ πe(G) and let mk be the number of elements of order k in G. Set nse(G):={mk|k ∈ πe(G)}. In this paper, we show that if n= r, r + 1, r + 2, r ...
  • On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field 
    Leshchenko, Yu.; Sushchansky, V. (Algebra and Discrete Mathematics, 2014)
    The group UJ₂(Fq) of unitriangular automorphisms of the polynomial ring in two variables over a finite field Fq, q = pm, is studied. We proved that UJ₂(Fq) is isomorphic to a standard wreath product of elementary Abelian ...
  • On the Lie ring of derivations of a semiprime ring 
    Artemovych, O.D.; Kular, K. (Algebra and Discrete Mathematics, 2014)
    We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.
  • On types of local deformations of quadratic forms 
    Bondarenko, V.M. (Algebra and Discrete Mathematics, 2014)
    We consider some aspects of the theory of quadratic forms concerning their local deformations.
  • Lattices of partial sums 
    Chiaselotti, G.; Gentile, T.; Oliverio, P.A. (Algebra and Discrete Mathematics, 2014)
    In this paper we introduce and study a class of partially ordered sets that can be interpreted as partial sums of indeterminate real numbers. An important example of these partially ordered sets, is the classical Young ...
  • Exponent matrices and Frobenius rings 
    Dokuchaev, M.A.; Kasyanuk, M.V.; Khibina, M.A.; Kirichenko, V.V. (Algebra and Discrete Mathematics, 2014)
    We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am ...
  • On the equivalence of matrices over commutative rings modulo ideals 
    Bondarenko, V.M.; Tylyshchak, A.A.; Stoika, M.V. (Algebra and Discrete Mathematics, 2014)
    We study connections between wildness of the problem of classifying the matrices over an integral domain up to equivalence modulo an ideal and properties of the set of prime elements of the domain.

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