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Перегляд Algebra and Discrete Mathematics, 2003, Vol. 2 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2003, Vol. 2 за назвою

Сортувати за: Порядок: Результатів:

  • On 2-state Mealy automata of polynomial growth 
    Reznykov, I.I. (Algebra and Discrete Mathematics, 2003)
    We consider the sequence of 2-state Mealy automata over the finite alphabets, that have polynomial growth orders and define the infinitely presented automatic transformation semigroups.
  • On a group theoretical construction of expanding graphs 
    Ustimenko, V.A. (Algebra and Discrete Mathematics, 2003)
  • On check character systems over quasigroups and loops 
    Belyavskaya, G.B. (Algebra and Discrete Mathematics, 2003)
    In this article we study check character systems that is error detecting codes, which arise by appending a check digit an to every word a₁a₂...an₋₁ : a₁a₂...an₋₁ → a₁a₂...an₋₁an with the check formula (...((a₁ · δa₂) · δ ...
  • On equivalence of some subcategories of modules in Morita contexts 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2003)
  • On equivalence of some subcategories of modules in Morita contexts 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2003)
  • On faithful actions of groups and semigroups by orientation-preserving plane isometries 
    Vorobets, Y. (Algebra and Discrete Mathematics, 2003)
    Feitful representations of two generated free groups and free semigroups by orientation-preserving plane isometries constructed.
  • On intersections of normal subgroups in free groups 
    Kulikova, O.V. (Algebra and Discrete Mathematics, 2003)
    Let N₁ (respectively N₂) be a normal closure of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced words of the free group F(A). In the paper we consider geometric conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, ...
  • On large indecomposable modules, endo-wild representation type and right pure semisimple rings 
    Simson, D. (Algebra and Discrete Mathematics, 2003)
    The existence of large indecomposable right Rmodules over a right artinian ring R is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category Mod(R) of right R-modules. Some ...
  • On power structures 
    Bosnjak, I.; Madarasz, R. (Algebra and Discrete Mathematics, 2003)
    In general, power structure of a structure A (with universe A) is an appropriate structure defined on the power set P(A). There are lot of papers concerning this topic in which power structures appear explicitly or ...
  • On subgroups of saturated or totally bounded paratopological groups 
    Banakh, T.; Ravsky, S. (Algebra and Discrete Mathematics, 2003)
    A paratopological group G is saturated if the inverse U ⁻¹ of each non-empty set U ⊂ G has non-empty interior. It is shown that a [first-countable] paratopological group H is a closed subgroup of a saturated (totally ...
  • On the representation of a number as a sum of the k-th powers in an arithmetic progression 
    Prosyanyuk, N.S. (Algebra and Discrete Mathematics, 2003)
    In this paper we obtain the asymptotic formula for a natural n ≤ x which representate as a sum of two non-negative k-th powers in an arithmetic progression.
  • On the separability of the restriction functor 
    Theohari-Apostolidi, Th.; Vavatsoulas, H. (Algebra and Discrete Mathematics, 2003)
    Let G be a group, Λ = L σ∈G Λσ a strongly graded ring by G, H a subgroup of G and ΛH = L σ∈H Λσ. We give a necessary and sufficient condition for the ring Λ/ΛH to be separable, generalizing the corresponding result ...
  • Post-critically finite self-similar groups 
    Bondarenko, E.; Nekrashevych, V. (Algebra and Discrete Mathematics, 2003)
    We describe in terms of automata theory the automatic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded ...
  • Principal quasi-ideals of cohomological dimension 1 
    Novikov, B.V. (Algebra and Discrete Mathematics, 2003)
    We prove that a principal quasi-ideal of a noncommutative free semigroup has cohomological dimension 1 if and only if it is free.
  • Ramseyan variations on symmetric subsequences 
    Verbitsky, O. (Algebra and Discrete Mathematics, 2003)
    A theorem of Dekking in the combinatorics of words implies that there exists an injective order-preserving transformation f : {0, 1, . . . , n} → {0, 1, . . . , 2n} with the restriction f(i + 1) ≤ f(i) + 2 such that for ...
  • Structural properties of extremal asymmetric colorings 
    Verbitsky, O. (Algebra and Discrete Mathematics, 2003)
    Let Ω be a space with probability measure µ for which the notion of symmetry is defined. Given A ⊆ Ω, let ms(A) denote the supremum of µ(B) over symmetric B ⊆ A. An r-coloring of Ω is a measurable map χ : Ω → {1, . . . , ...
  • The commutator Hopf Galois extensions 
    Szeto, G.; Xue, L. (Algebra and Discrete Mathematics, 2003)
    Let H be a finite dimentional Hopf algebra over a field k and H∗ the dual Hopf algebra of H. Then a commutator right H∗ -Galois extension B of BH is characterized in terms of the smash product B#H and some relationships ...
  • Tiled orders over discrete valuation rings, finite Markov chains and partially ordered sets. II 
    Chernousova, Zh.T.; Dokuchaev, M.A.; Khibina, M.A.; Kirichenko, V.V.; Miroshnichenko, S.G.; Zhuravlev, V.N. (Algebra and Discrete Mathematics, 2003)
    The main concept of this part of the paper is that of a reduced exponent matrix and its quiver, which is strongly connected and simply laced. We give the description of quivers of reduced Gorenstein exponent matrices ...
  • Uniform ball structures 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2003)
    A ball structure is a triple B = (X, P, B), where X, P are nonempty sets and, for all x ∈ X, α ∈ P, B(x, α) is a subset of X, x ∈ B(x, α), which is called a ball of radius α around x. We introduce the class of uniform ...
  • Uniform ball structures 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2003)
    A ball structure is a triple B = (X, P, B), where X, P are nonempty sets and, for all x ∈ X, α ∈ P, B(x, α) is a subset of X, x ∈ B(x, α), which is called a ball of radius α around x. We introduce the class of uniform ...

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