Перегляд за автором "Subbotin, I.Ya."

Сортувати за: Порядок: Результатів:

  • Abnormal subgroups and Carter subgroups in some infinite groups 
    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 ...
  • A generalization of the malnormal subgroups 
    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 ...
  • Groups satisfying certain rank conditions 
    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.
  • Groups with Bounded Chernikov Conjugate Classes of Elements 
    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 ...
  • Groups with finiteness conditions on some subgroup systems: a contemporary stage 
    Dixon, M.R.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    This paper gives a brief historical survey of results in which certain systems of subgroups of a group satisfy various finiteness conditions.
  • Groups with many pronormal and transitively normal subgroups 
    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 ...
  • Lattice groups 
    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 ...
  • On analogs of some classical group theoretical results in Poisson algebras 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2021)
    We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is ...
  • On analogs of some group-theoretic concepts and results for Leibniz algebras 
    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 ...
  • On arrangement of subgroups in groups and related topics: some recent developments 
    Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    Investigation of groups satisfying certain conditions, related to the subgroup arrangement, enabled algebraists to introduce and describe many important classes of groups. The roots of such investigations lie in the works ...
  • 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 groups, whose non-normal subgroups are either contranormal or core-free 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2020)
    We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of a group G is called contranormal in G, if G = H^G. A subgroup H of a group G is called core-free in G, if CoreG(H) ...
  • On ideals and contraideals in Leibniz algebras 
    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 ...
  • On Leibniz algebras, whose subideals are ideals 
    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 ...
  • On some topics in the theory of infinite dimensional linear groups 
    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 ...
  • On the anticommutativity in Leibniz algebras 
    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 ...
  • On the contribution of D.I. Zaitsev to the Theory of Infinite Groups 
    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.
  • On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2021)
    The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain ...
  • On the non–periodic groups, whose subgroups of infinite special rank are transitively normal 
    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 ...
  • On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal 
    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 ...