Перегляд 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 ...
  • Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Доповіді НАН України, 2019)
    A subgroup H of a group G is called malonormal in G, if H ⌒ H^x = <1> for every element x ∉ NG(H). These subgroups are generalizations of malnormal subgroups. Every malnormal subgroup is malonormal, and every selfnormal ...
  • 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.; Otal, J.; Subbotin, I.Ya. (Український математичний журнал, 2002)
    We consider BCC-groups, that is groups G with Chernikov conjugacy classes in which for every element x ∈ G the minimax rank of the divisible part of the Chernikov group G/C G(xᴳ) and the order of the corresponding factor-group ...
  • 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.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.; 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.; 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 ...
  • Kurdachenko, L.A.; Subbotin, I.Ya.; Semko, N.N. (Доповіді НАН України, 2018)
    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 ...
  • 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.; 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.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2020)
    A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal. Let L be an algebra over ...
  • Kurdachenko, L.A.; Subbotin, I.Ya.; Yashchuk, V.S. (Доповіді НАН України, 2017)
    We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz ...
  • 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 ...
  • 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. (Доповіді НАН України, 2020)
    This paper devoted to the nonperiodic 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 ...
  • Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Доповіді НАН України, 2019)
    Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).