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Перегляд Algebra and Discrete Mathematics, 2010, Vol. 10, № 1 за назвою

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2010, Vol. 10, № 1 за назвою

Сортувати за: Порядок: Результатів:

  • Associated prime ideals of weak σ-rigid rings and their extensions 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2010)
    Let R be a right Noetherian ring which is also an algebra over Q (Q the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. Let further σ be such that aσ(a)∈N(R) implies that ...
  • Diagonal direct limits of finite symmetric and alternating groups 
    Lavrenyuk, Y.V.; Nekrashevych, V.V.; Sushchansky, V.I. (Algebra and Discrete Mathematics, 2010)
    Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees. We describe a new method of classification of such permutation groups, and use this ...
  • Groups of linear automata 
    Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    The scalar automata as a special class of groups of linear automata over modules are introduced. The groups of scalar automata are classified.
  • On separable group rings 
    Szeto, G.; Lianyong Xue (Algebra and Discrete Mathematics, 2010)
    Let G be a finite non-abelian group, R a ring with 1, and Ĝ the inner automorphism group of the group ring RG over R induced by the elements of G. Then three main results are shown for the separable group ring RG over R: ...
  • On the existence of complements in a group to some abelian normal subgroups 
    Dixon, M.R.; Kurdachenko, L.A.; Javier Otal (Algebra and Discrete Mathematics, 2010)
    A complement to a proper normal subgroup H of a group G is a subgroup K such that G=HK and H∩K=⟨1⟩. Equivalently it is said that G splits over H. In this paper we develop a theory that we call hierarchy of centralizers to ...
  • Partitions of groups and matroids into independent subsets 
    Banakh, T.; Protasov, I. (Algebra and Discrete Mathematics, 2010)
    Can the set R∖{0} be covered by countably many linearly (algebraically) independent subsets over the field Q? We use a matroid approach to show that an answer is ``Yes'' under the Continuum Hypothesis, and ``No'' under its ...
  • Preradical and kernel functors over categories of S−acts 
    Komarnitskiy, M.; Oliynyk, R. (Algebra and Discrete Mathematics, 2010)
    We concider the big lattices of preradicals and kernel functors over some cathegories of centered S−acts, where S is monoid whit zero. We prove that those big lattices are two elements if and only if monoid S− is groups ...
  • Preradicals and submodules 
    Maturin, Y. (Algebra and Discrete Mathematics, 2010)
    Some collections of submodules of a module defined by certain conditions are studied.
  • Projectivity and flatness over the graded ring of semi-coinvariants 
    Guedenon, T. (Algebra and Discrete Mathematics, 2010)
    Let k be a field, C a bialgebra with bijective antipode, A a right C-comodule algebra, G any subgroup of the monoid of grouplike elements of C. We give necessary and sufficient conditions for the projectivity and flatness ...
  • To the Fiftieth Anniversary of the Department of Algebra and Mathematical Logic of Kyiv Taras Shevchenko University 
    Bezushchak, O.O.; Drozd, Yu.A.; Gorodniy, M.F.; Petravchuk, A.P.; Sushchanskiy, V.I. (Algebra and Discrete Mathematics, 2010)
    History of algebraic research in Kyiv University starts in 1902 when Professor D. Grave who was a pupil of the St.Petersburg mathematical school started his work at Kyiv University. After moving to Kyiv Professor Grave ...

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