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Перегляд Algebra and Discrete Mathematics, 2011, Vol. 11, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2011, Vol. 11, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • Norm Kloosterman sums over Z[i] 
    Savastru, O.; Varbanets, S. (Algebra and Discrete Mathematics, 2011)
    n-dimensional norm Kloosterman sums over the ring of the Gaussian numbers investigate. Nontrivial estimates of these sums were obtained.
  • Partitions of groups into thin subsets 
    Protasov, I. (Algebra and Discrete Mathematics, 2011)
    Let G be an infinite group with the identity e, κ be an infinite cardinal ≤|G|. A subset A⊂G is called κ-thin if |gA∩A|≤κ for every g∈G∖{e}. We calculate the minimal cardinal μ(G,κ) such that G can be partitioned in μ(G,κ) ...
  • On partial Galois Azumaya extensions 
    Paques, A.; Freitas, D. (Algebra and Discrete Mathematics, 2011)
    Let α be a globalizable partial action of a finite group G over a unital ring R, A=R⋆αG the corresponding partial skew group ring, Rα the subring of the α-invariant elements of R and α⋆ the partial inner action of G (induced ...
  • Partial actions and automata 
    Dokuchaev, M.; Novikov, B.; Zholtkevych, G. (Algebra and Discrete Mathematics, 2011)
    We use the notion of a partial action of a monoid to introduce a generalization of automata, which we call ``a preautomaton''. We study properties of preautomata and of languages recognized by preautomata.
  • On the generators of the kernels of hyperbolic group presentations 
    Chaynikov, V. (Algebra and Discrete Mathematics, 2011)
    In this paper we prove that if R is a (not necessarily finite) set of words satisfying certain small cancellation condition in a hyperbolic group G then the normal closure of R is free. This result was first presented ...
  • On primarily multiplication modules over pullback rings 
    Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani (Algebra and Discrete Mathematics, 2011)
    The purpose of this paper is to present a new approach to the classification of indecomposable primarily multi-plication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition ...
  • Free rectangular dibands and free dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2011)
    We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least (rb,rz)-congruence, the least left zero and right zero congruence, the least rectangular ...

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