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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Orthoscalar representations of the partially ordered set (N, 4) 
    Kruglyak, S.A.; Livinsky, I.V. (Algebra and Discrete Mathematics, 2012)
    We obtain a one-parameter series of orthoscalar representations of the partially ordered set (N, 4). This proves that the classification of such representations is a problem of infinite type.
  • 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) ...
  • Prethick subsets in partitions of groups 
    Protasov, I.V.; Slobodianiuk, S. (Algebra and Discrete Mathematics, 2012)
    A subset S of a group G is called thick if, for any finite subset F of G, there exists g ∈ G such that Fg ⊆ S, and k-prethick, k ∈ N if there exists a subset K of G such that |K| = k and KS is thick. For every finite ...
  • Projective resolution of irreducible modules over tiled order 
    Zhuravlev, V.; Zhuravlyov, D. (Algebra and Discrete Mathematics, 2012)
    We indicate the method for computing the kernels of projective resolution of irreducible module over tiled order. On the base of this method we construct projective resolution of irreducible module and calculate the global ...
  • Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides 
    Kysil, T.; Zabavskiy, B.; Domsha, O. (Algebra and Discrete Mathematics, 2012)
    It is proved that each matrix over Bezout domain of stable range 1 with Dubrovin's condition, in which every maximal nonprincipal ideals are tho-sides ideals, is equivalent to diagonal one with right total division of ...
  • 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.
  • 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 ...
  • Sergei Nikolaevich Chernikov. Memoirs 
    Plotkin, B. (Algebra and Discrete Mathematics, 2012)
    Dedicated to the 100th anniversary of the birth of Sergei Nikolaevich Chernikov.
  • 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 ...
  • 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 ...
  • Survey of generalized pregroups and a question of Reinhold Baer 
    Gaglione, A.M.; Lipschutz, S.; Spellman, D. (Algebra and Discrete Mathematics, 2012)
    There has been recent interest in Stallings’ Pregroups. (See [2] and [12].) This paper gives a survey of generalized pregroups. We also answer a question of Reinhold Baer [1] on pregroups and answer a generalization of ...
  • The detour hull number of a graph 
    Santhakumaran, A.P.; Ullas Chandran, S.V. (Algebra and Discrete Mathematics, 2012)
    For vertices u and v in a connected graph G = (V, E), the set ID[u, v] consists of all those vertices lying on a u−v longest path in G. Given a set S of vertices of G, the union of all sets ID[u, v] for u, v ∈ S, is denoted ...
  • The first theorem of Andrey Roiter 
    Lichtman, A.I. (Algebra and Discrete Mathematics, 2012)
    The article contains memories about A.V. Roiter.
  • 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 ...
  • The spectral measure of the Markov operator related to 3-generated 2-group of intermediate growth and its Jacobi parameters 
    Grigorchuk, R.I.; Krylyuk, Ya.S. (Algebra and Discrete Mathematics, 2012)
    It is shown that the KNS-spectral measure of the typical Schreier graph of the action of 3-generated 2-group of intermediate growth constructed by the first author in 1980 on the boundary of binary rooted tree coincides ...
  • The symmetries of McCullough-Miller space 
    Piggott, A. (Algebra and Discrete Mathematics, 2012)
    We prove that if W is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to W is isomorphic to group of outer automorphisms of W. We also prove ...
  • 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, ...
  • To the 100th anniversary of the birth of Sergei Nikolaevich Chernikov 
    Автор відсутній (Algebra and Discrete Mathematics, 2012)
    On May 11, 2012, we celebrate the 100th anniversary of the birth of Sergei Nikolaevich Chernikov (1912 – 1987), a great mathematician, one of the main founders of infinite group theory.
  • Word length in symmetrized presentations of Thompson’s group F 
    Horak, M.; Johnson, A.; Stonesifer, A. (Algebra and Discrete Mathematics, 2012)
    Thompson's groups F, T and Z were introduced by Richard Thompson in the 1960's in connection with questions in logic. They have since found applications in many areas of mathematics including algebra, logic and topology, ...

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