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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Form of filters of semisimple modules and direct sums 
    Maturin, Yu. (Algebra and Discrete Mathematics, 2013)
    Some collections of submodules of a module defined by certain conditions are studied. A generalization of the notion of radical (preradical) filter is considered. We study the form of filters of semisimple modules and direct sums.
  • On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup 
    Monakhov, V.S.; Gritsuk, D.V. (Algebra and Discrete Mathematics, 2013)
    It is proved that if π-Hall subgroup is a supersolvable group then the derived π-length of a π-solvable group G is at most 1 + maxr∈π lαr(G), where lαr(G) is the derived r-length of a π-solvable group G.
  • Algorithms computing O(n, Z)-orbits of P-critical edge-bipartite graphs and P-critical unit forms using Maple and C# 
    Polak, A.; Simson, D. (Algebra and Discrete Mathematics, 2013)
    We present combinatorial algorithms constructing loop-free P-critical edge-bipartite (signed) graphs Δ′, with n ≥ 3 vertices, from pairs (Δ, w), with Δ a positive edge-bipartite graph having n-1 vertices and w a sincere ...
  • 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 ...
  • Classifying cubic s-regular graphs of orders 22p and 22p² 
    Talebi, A.A.; Mehdipoor, N. (Algebra and Discrete Mathematics, 2013)
    A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this study, we classify the connected cubic s-regular graphs of orders 22p and 22p² for each s ≥ 1, and each prime p.
  • Free n-nilpotent dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent ...
  • Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2013)
    In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) ...
  • 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 ...
  • Free (ℓr, rr)-dibands 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, rr)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, ...
  • Leonid Shemetkov. His entire life devotion 
    Skiba, A.N.; Monakhov, V.S.; Selkin, M.V.; Vorob’ev, N.T.; Semenchuk, V.N.; Vasil’ev, A.F. (Algebra and Discrete Mathematics, 2013)
    It is given a short scientific biography of Professor L.A. Shemetkov.
  • On Baer-Shemetkov’s decomposition in modules and related topics 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2013)
    This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. ...
  • On maximal and minimal linear matching property 
    Aliabadi, M.; Darafsheh, M.R. (Algebra and Discrete Mathematics, 2013)
    The matching basis in field extentions is introduced by S. Eliahou and C. Lecouvey in [2]. In this paper we define the minimal and maximal linear matching property for field extensions and prove that if K is not algebraically ...
  • 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 ...
  • 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 ...
  • 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.
  • 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 ...
  • 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 ...
  • (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 ...
  • 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 ...

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