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Перегляд Algebra and Discrete Mathematics за автором "Kurdachenko, L.A."

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics за автором "Kurdachenko, L.A."

Сортувати за: Порядок: Результатів:

  • Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2005)
    t. Some properties of abnormal subgroups in generalized soluble groups are considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it is proven that a subgroup H of a radical ...
  • Dixon, M.R.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2016)
    This is a survey of a number of recent results concerned with groups whose subgroups satisfy certain rank conditions.
  • Kurdachenko, L.A.; Semko (Jr.), N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    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. We described some infinite groups, whose non–finitely generated subgroups are transitively ...
  • Kurdachenko, L.A.; Yashchuk, V.S.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2015)
    In this paper, we introduce some algebraic struc-ture associated with groups and lattices. This structure is a semi-group and it appeared as the result of our new approach to thefuzzy groups andL-fuzzy groups whereLis a ...
  • Kurdachenko, L.A.; Yashchuk, V.S.; Subbotin, I.Y. (Algebra and Discrete Mathematics, 2015)
    In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and L-fuzzy groups where L is a ...
  • Kurdachenko, L.A.; Ya, I.; Yashchuk, V.S. (Algebra and Discrete Mathematics, 2017)
    In this paper, we introduce some algebraic structure associated with rings and lattices. It appeared as the result of our new approach to the fuzzy rings and L-fuzzy rings where L is a lattice. This approach allows us to ...
  • 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. ...
  • Kurdachenko, L.A.; Pypka, A.A.; Subbotin I.Ya. (Algebra and Discrete Mathematics, 2021)
    In this paper we prove that if P is a Poisson algebra and the n-th hypercenter (center) of P has a finite codimension, then P includes a finite-dimensional ideal K such that P/K is nilpotent (abelian). As a corollary, we ...
  • Kurdachenko, L.A.; Grin, K.O.; Turbay, N.A. (Algebra and Discrete Mathematics, 2012)
    In an arbitrary fuzzy group we construct the upper central series and consider some its properties. In particular, the characterization of nilpotent fuzzy group has been obtained.
  • 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.
  • Kirichenko, V.V.; Kurdachenko, L.A. (Algebra and Discrete Mathematics, 2010)
    The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O.Yu.Schmidt, and S.N. Chernikov. ...
  • Kurdachenko, L.A.; Sadovnichenko, A.V. (Algebra and Discrete Mathematics, 2013)
    Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called ...
  • Dixon, M.R.; Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2020)
    In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional ...
  • Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2018)
    Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency ...
  • Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    We survey the most outstanding contributions due to D.I. Zaitsev in the Theory of Infinite Groups.
  • 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 ...
  • Kurdachenko, L.A.; Subbotin, I.Ya.; Velychko, T.V. (Algebra and Discrete Mathematics, 2020)
    This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup ...
  • Chupordia, V.A.; Kurdachenko, L.A.; Semko, N.N. (Algebra and Discrete Mathematics, 2020)
    An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are ...
  • Kurdachenko, L.A.; Semko, N.N. (Algebra and Discrete Mathematics, 2021)
    Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent ...
  • Kurdachenko, L.A.; Semko, M.M.; Yashchuk, V.S. (Algebra and Discrete Mathematics, 2021)
    We describe the algebra of derivation of finitedimensional cyclic Leibniz algebra.

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