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Перегляд Algebra and Discrete Mathematics, 2014, Vol. 18, № 1 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2014, Vol. 18, № 1 за датою випуску

Сортувати за: Порядок: Результатів:

  • Effective ring 
    Zabavsky, B.V.; Kuznitska, B.M. (Algebra and Discrete Mathematics, 2014)
    In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. ...
  • Construction of free g-dimonoids 
    Movsisyan, Yu.; Davidov, S.; Safaryan, M. (Algebra and Discrete Mathematics, 2014)
    In this paper, the concept of a g-dimonoid is introduced and the construction of a free g-dimonoid is described. (A g-dimonoid is a duplex satisfying two additional identities.)
  • Matrix approach to noncommutative stably free modules and Hermite rings 
    Lezama, O.; Gallego, C. (Algebra and Discrete Mathematics, 2014)
    In this paper we present a matrix-constructive proof of an Stafford’s Theorem about stably free modules over noncommutative rings. Matrix characterizations of noncommutative Hermite and projective-free rings are exhibit. ...
  • On graphs with graphic imbalance sequences 
    Kozerenko, S.; Skochko, V. (Algebra and Discrete Mathematics, 2014)
    The imbalance of the edge e = uv in a graph G is the value imbG(e) = |dG(u) − dG(v)|. We prove that the sequence MG of all edge imbalances in G is graphic for several classes of graphs including trees, graphs in which all ...
  • Preradicals, closure operators in R-Mod and connection between them 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2014)
    For a module category R-Mod the class PR of preradicals and the class CO of closure operators are studied. The relations between these classes are realized by three mappings: Φ : CO → PR and Ψ₁, Ψ₂ : PR → CO. The impact ...
  • On closures in semitopological inverse semigroups with continuous inversion 
    Gutik, O. (Algebra and Discrete Mathematics, 2014)
    We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group G is H-closed ...
  • On weakly semisimple derivations of the polynomial ring in two variables 
    Gavran, V.S.; Stepukh, V.V. (Algebra and Discrete Mathematics, 2014)
    Let K be an algebraically closed field of characteristic zero and K[x, y] the polynomial ring. Every element f ∈ K[x, y] determines the Jacobian derivation Df of K[x, y] by the rule Df(h) = detJ(f, h), where J(f, h) is the ...
  • Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups 
    Chattopadhyay, S.; Panigrahi, P. (Algebra and Discrete Mathematics, 2014)
    The power graph of a finite group is the graph whose vertices are the elements of the group and two distinct vertices are adjacent if and only if one is an integral power of the other. In this paper we discuss the planarity ...
  • L-cross-sections of the finite symmetric semigroup 
    Bondar, E. (Algebra and Discrete Mathematics, 2014)
    In the present paper we give the description of all L-cross-sections of the finite symmetric semigroup.
  • On a factorization of an iterated wreath product of permutation groups 
    Bajorska, B.; Sushchansky, V. (Algebra and Discrete Mathematics, 2014)
    We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.
  • 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 ...
  • Minimal non-PC-groups 
    Artemovych, O.D. (Algebra and Discrete Mathematics, 2014)
    The purpose of this paper is to prove that a non-perfect group G is a minimal non-PC-group if and only if it is a minimal non-FC-group. It is shown that a perfect locally graded minimal non-PC-group is an indecomposable ...

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