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Перегляд Algebra and Discrete Mathematics, 2012, Vol. 13, Vol. 14 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2012, Vol. 13, Vol. 14 за датою випуску

Сортувати за: Порядок: Результатів:

  • On S-quasinormally embedded subgroups of finite groups 
    Al-Sharo, Kh.A.; Shemetkova, O.; Xiaolan Yi (Algebra and Discrete Mathematics, 2012)
    Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal ...
  • Algebra in superextensions of semilattices 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    Given a semilattice X we study the algebraic properties of the semigroup υ(X) of upfamilies on X. The semigroup υ(X) contains the Stone-ˇCech extension β(X), the superextension λ(X), and the space of filters φ(X) on X as ...
  • A linear algorithm of checking of the graph connectness 
    Dudchenko, I.; Plakhotnyk, M. (Algebra and Discrete Mathematics, 2012)
    An algorithm of sorting of all simply laced graph such that subalgorithm of checking of that the graph is connected is of linear dependence on the number of vertices of the graph.
  • Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups 
    Ghasemi, M. (Algebra and Discrete Mathematics, 2012)
    A Cayley graph X = Cay(G, S) is called normal for G if the right regular representation R(G) of G is normal in the full automorphism group Aut(X) of X. In the present paper it is proved that all connected tetravalent Cayley ...
  • The upper edge-to-vertex detour number of a graph 
    Santhakumaran, A.P.; Athisayanathan, S. (Algebra and Discrete Mathematics, 2012)
    For two vertices u and v in a graph G = (V, E), the detour distance D(u, v) is the length of a longest u-v path in G. A u-v path of length D(u, v) is called a u-v detour. For subsets A and B of V, the detour distance D(A, ...
  • On the contribution of D.I. Zaitsev to the Theory of Infinite Groups 
    Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    We survey the most outstanding contributions due to D.I. Zaitsev in the Theory of Infinite Groups.
  • On hypercentral fyzzy groups 
    Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2012)
    In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
  • Partitions of groups into sparse subsets 
    Protasov, I. (Algebra and Discrete Mathematics, 2012)
    A subset A of a group G is called sparse if, for every infinite subset X of G, there exists a finite subset F ⊂ X, such that ∩x∈FxA is finite. We denote by η(G) the minimal cardinal such that G can be partitioned in η(G) ...
  • Finite local nearrings on metacyclic Miller-Moreno p-groups 
    Raievska, I.Yu.; Sysak, Ya.P. (Algebra and Discrete Mathematics, 2012)
    In this paper the metacyclic Miller-Moreno p-groups which appear as the additive groups of finite local nearrings are classified.
  • S-Embedded subgroups in finite groups 
    Ballester-Bolinches, A.; Beidleman, J.C.; Feldman, A.D.; Heineken, H.; Ragland, M.F. (Algebra and Discrete Mathematics, 2012)
    In this survey paper several subgroup embedding properties related to permutability are introduced and studied.
  • Algebra in superextensions of inverse semigroups 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    We find necessary and sufficient conditions on an (inverse) semigroup X under which its semigroups of maximal linked systems λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.
  • S. N. Chernikov and the development of infinite group theory 
    Dixon, M.R.; Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Semko, N.N.; Shemetkov, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and ...
  • One branch curve singularities with at most 2-parameter families of ideals 
    Drozd, Yu.A.; Skuratovskii, R.V. (Algebra and Discrete Mathematics, 2012)
    A criterion is given in order that the ideals of a one branch curve singularity form at most 2-parameter families. Namely, we present a list of plane curve singularities from the Arnold's classification which are the ...
  • On inverse operations in the lattices of submodules 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2012)
    In the lattice L(RM) of submodules of an arbitrary left R-module RM four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations ...
  • Semigroups with certain finiteness conditions and Chernikov groups 
    Shevrin, L.N. (Algebra and Discrete Mathematics, 2012)
    The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions. A structure ...
  • On verbal subgroups in finite and profinite groups 
    Acciarri, C.; Shumyatsky, P. (Algebra and Discrete Mathematics, 2012)
    Let w be a multilinear commutator word. In the present paper we describe recent results that show that if G is a profinite group in which all w-values are contained in a union of finitely (or in some cases countably) many ...
  • Local embeddability 
    Belegradek, O. (Algebra and Discrete Mathematics, 2012)
    For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik ...
  • The representation type of elementary abelian p-groups with respect to the modules of constant Jordan type 
    Bondarenko, V.M.; Lytvynchuk, I.V. (Algebra and Discrete Mathematics, 2012)
    We describe the representation type of elementary abelian p-groups with respect to the modules of constant Jordan type and offer two conjectures (for such modules) in the general case, one of which suggests that any non-wild ...
  • On locally soluble AFN-groups 
    Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2012)
    Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A) = 1, and each proper subgroup H of G for which A / CA(H) is not a noetherian R-module, is finitely generated. We describe the structure ...
  • Some (Hopf) algebraic properties of circulant matrices 
    Albuquerque, H.; Panaite, F. (Algebra and Discrete Mathematics, 2012)
    We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant n × n matrices is isomorphic to the group algebra of the cyclic group with n elements. We introduce ...

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