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Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, № 1 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, № 1 за назвою

Сортувати за: Порядок: Результатів:

  • Associative words in the symmetric group of degree three 
    Plonka, E. (Algebra and Discrete Mathematics, 2013)
    Let G be a group. An element w(x, y) of the absolutely free group on free generators x, y is called an associative word in G if the equality w(w(g₁, g₂), g₃)=w(g₁, w(g₂, g₃)) holds for all g₁, g₂ ∈ G. In this paper we ...
  • Automorphic equivalence of the representations of Lie algebras 
    Shestakov, I.; Tsurkov, A. (Algebra and Discrete Mathematics, 2013)
    In this paper we research the algebraic geometry of the representations of Lie algebras over fixed field k. We assume that this field is infinite and char (k) = 0. We consider the representations of Lie algebras as 2-sorted ...
  • Function algebras on rectangular bands 
    Maxson, C.J. (Algebra and Discrete Mathematics, 2013)
    We investigate function algebras determined by rectangular bands. The focus is on maximal semirings within these function algebras and invariants associated with certain mutations.
  • Generalised triangle groups of type (3, q, 2) 
    Howie, J. (Algebra and Discrete Mathematics, 2013)
    If G is a group with a presentation of the form ⟨x, y|x³ = yq = W(x, y)² = 1⟩, then either G is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence in favour of a conjecture of Rosenberger.
  • Infinitely iterated wreath products of metric spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2013)
    The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and ...
  • On elementary domains of partial projective representations of groups 
    Pinedo, H. (Algebra and Discrete Mathematics, 2013)
    We characterize the finite groups containing only elementary domains of factor sets of partial projective representations. A condition for a finite subset A of a group G, which contains the unity of the group, to induce ...
  • On normalizers in fuzzy groups 
    Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2013)
    In an arbitrary fuzzy group we define the normalizer of fuzzy subgroup and study some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
  • On one class of semiperfect semidistributive rings 
    Kasyanuk, M. (Algebra and Discrete Mathematics, 2013)
    In this paper we consider the Artinian semidistributive rings.
  • Regular pairings of functors and weak (co)monads 
    Wisbauer, R. (Algebra and Discrete Mathematics, 2013)
    For functors L : A → B and R : B → A between any categories A and B, a pairing is defined by maps, natural in A ∈ A and B ∈ B, MorB(L(A), B) ↔ MorA(A, R(B)). (L, R) is an adjoint pair provided α (or β) is a bijection. ...
  • Rostislav I . Grigorchuk. To the 60th anniversary 
    Автор відсутній (Algebra and Discrete Mathematics, 2013)
    On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches ...

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