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Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, № 2 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2013, Vol. 15, № 2 за назвою

Сортувати за: Порядок: Результатів:

  • Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators) 
    Kashu, A.I. (Algebra and Discrete Mathematics, 2013)
    In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) ...
  • Free (ℓr, rr)-dibands 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, rr)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, ...
  • Groups with many pronormal and transitively normal subgroups 
    Semko (Jr.), N.N. (Algebra and Discrete Mathematics, 2013)
    A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. The study of radical groups, whose not finitely generated subgroups are transitively ...
  • Leonid Aleksandrovich Shemetkov 
    Автор відсутній (Algebra and Discrete Mathematics, 2013)
    Ukrainian algebraists with keen sorrow have learned about the death of our colleague, a prominent algebraist and a tremendously efficient science manager of the Republic of Belarus Leonid Aleksandrovich Shemetkov. Leonid ...
  • Leonid Shemetkov. His entire life devotion 
    Skiba, A.N.; Monakhov, V.S.; Selkin, M.V.; Vorob’ev, N.T.; Semenchuk, V.N.; Vasil’ev, A.F. (Algebra and Discrete Mathematics, 2013)
    It is given a short scientific biography of Professor L.A. Shemetkov.
  • On Baer-Shemetkov’s decomposition in modules and related topics 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2013)
    This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. ...
  • On maximal and minimal linear matching property 
    Aliabadi, M.; Darafsheh, M.R. (Algebra and Discrete Mathematics, 2013)
    The matching basis in field extentions is introduced by S. Eliahou and C. Lecouvey in [2]. In this paper we define the minimal and maximal linear matching property for field extensions and prove that if K is not algebraically ...
  • On the relation between completeness and H-closedness of pospaces without infinite antichains 
    Yokoyama, T. (Algebra and Discrete Mathematics, 2013)
    We study the relation between completeness and H-closedness for topological partially ordered spaces. In general, a topological partially ordered space with an infinite antichain which is even directed complete and ...
  • Representations of nodal algebras of type A 
    Drozd, Yu.; Zembyk, V. (Algebra and Discrete Mathematics, 2013)
    We define nodal finite dimensional algebras and describe their structure over an algebraically closed field. For a special class of such algebras (type A) we find a criterion of tameness.
  • The diagonal limits of Hamming spaces 
    Oliynyk, B. (Algebra and Discrete Mathematics, 2013)
    We consider a continuum family of subspaces of the Besicovitch-Hamming space on some alphabet B, naturally parametrized by supernatural numbers. Every subspace is defined as a diagonal limit of finite Hamming spaces on the ...
  • The p–gen nature of M₀(V ) (I) 
    Scott, S.D. (Algebra and Discrete Mathematics, 2013)
    Let V be a finite group (not elementary two) and p ≥ 5 a prime. The question as to when the nearring M₀(V) of all zero-fixing self-maps on V is generated by a unit of order p is difficult. In this paper we show M₀(V) is ...
  • Weighted zero-sum problems over C₃ʳ 
    Godinho, H.; Lemos, A.; Marques, D. (Algebra and Discrete Mathematics, 2013)
    Let Cn be the cyclic group of order n and set sA(Crn) as the smallest integer ℓ such that every sequence S in Cʳn of length at least ℓ has an A-zero-sum subsequence of length equal to exp(Cʳn), for A = {−1, 1}. In this ...

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