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Перегляд Algebra and Discrete Mathematics, 2007, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2007, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • On closed rational functions in several variables 
    Petravchuk, A.P.; Iena, O.G. (Algebra and Discrete Mathematics, 2007)
    Let K = K¯ be a field of characteristic zero. An element ϕ ∈ K(x1,... ,xn) is called a closed rational function if the subfield K(ϕ) is algebraically closed in the field K(x1,... ,xn). We prove that a rational function ...
  • Characterization of clones of boolean operations by identities 
    Butkote, R.; Denecke, K. (Algebra and Discrete Mathematics, 2007)
    In [4] the authors characterized all clones of Boolean operations (Boolean clones) by functional terms. In this paper we consider a Galois connection between operations and equations and characterize all Boolean clones ...
  • Self-similar groups and finite Gelfand pairs 
    D’Angeli, D.; Donno, A. (Algebra and Discrete Mathematics, 2007)
    We study the Basilica group B, the iterated monodromy group I of the complex polynomial z 2 + i and the Hanoi Towers group H(3). The first two groups act on the binary rooted tree, the third one on the ternary rooted ...
  • Automorphisms of kaleidoscopical graphs 
    Protasov, I.V.; Protasova, K.D. (Algebra and Discrete Mathematics, 2007)
    A regular connected graph Γ of degree s is called kaleidoscopical if there is a (s + 1)-coloring of the set of its vertices such that every unit ball in Γ has no distinct monochrome points. The kaleidoscopical graphs can ...
  • Investigations of Mealy automata growth at iterations 
    Reznykov, I.I. (Algebra and Discrete Mathematics, 2007)
    The problem of the research of Mealy automata growth at iterations is considered in the paper. We describe the application of the mathematical modelling method to this problem, and consider properties of growth of Mealy ...
  • A 2-generated 2-related group with no non-trivial finite quotients 
    Ol’shanskii, A.Yu.; Sapir, M.V. (Algebra and Discrete Mathematics, 2007)
    We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.
  • Classification of the local isometry groups of rooted tree boundaries 
    Lavrenyuk, Y. (Algebra and Discrete Mathematics, 2007)
    Classification of the groups of local isometries of the rooted tree boundaries is established for transitive groups.
  • Free products of finite groups acting on regular rooted trees 
    Gupta, C.K.; Gupta, N.D.; Oliynyk, A.S. (Algebra and Discrete Mathematics, 2007)
    Let finite number of finite groups be given. Let n be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree contains subgroups isomorphic to the ...
  • Integral group ring of the McLaughlin simple group 
    Bovdi, V.A.; Konovalov, A.B. (Algebra and Discrete Mathematics, 2007)
    We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.
  • To the 60th birthday of Professor Vitaliy Sushchansky 
    Автор відсутній (Algebra and Discrete Mathematics, 2007)
    This is a special issue of the journal devoted to the 60th birthday of an outstanding Ukrainian mathematician, one of the founders of our journal Professor Vitaliy Sushchansky.
  • Bandwidth reduction in rectangular grids 
    Andreescu, T.; Stromquist, W.; Sunic, Z. (Algebra and Discrete Mathematics, 2007)
    We show that the bandwidth of a square twodimensional grid of arbitrary size can be reduced if two (but not less than two) edges are deleted. The two deleted edges may not be chosen arbitrarily, but they may be chosen ...
  • Groups associated with modules over nearrings 
    Artemovych, O.D.; Kravets, I.V. (Algebra and Discrete Mathematics, 2007)
    We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity ...
  • On Sushchansky p-groups 
    Bondarenko, I.V.; Savchuk, D.M. (Algebra and Discrete Mathematics, 2007)
    We study Sushchansky p-groups introduced in [Sus79]. We recall the original definition and translate it into the language of automata groups. The original actions of Sushchansky groups on p-ary tree are not level-transitive ...

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