Перегляд за автором "Semko, N.N."

Сортувати за: Порядок: Результатів:

  • 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 ...
  • Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the ...
  • Semko, N.N.; Skaskiv, L.V.; Yarovaya, O.A. (Доповіді НАН України, 2019)
    Let F be a field, A be a vector space over F, and G be a subgroup of GL(F, A). We say that G has a dense family of subgroups having finite central dimension, if, for every pair of subgroups H, K of G such that H ≤ K and ...
  • 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 ...
  • Semko, N.N.; Velychko, T.V. (Algebra and Discrete Mathematics, 2017)
    This paper sheds a light on periodic soluble groups whose subgroups of infinite special rank are transitively normal.
  • Semko, N.N.; Yarovaya, O.A. (Algebra and Discrete Mathematics, 2009)
    Locally step groups at which all subgroups are or normal, or have Chernikov’s derived subgroup are studied.
  • 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).
  • Dixon, M.R.; Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Semko, N.N.; Shemetkov, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and ...
  • Kurdachenko, L.A.; Pypka, A.A.; Semko, N.N. (Algebra and Discrete Mathematics, 2016)
    The main result of this paper shows a description of locally finite groups, whose cyclic subgroups are either almost self-normalizing or ascendant. Also, we obtained some natural corollaries of the above situation.
  • Jose M. Munoz-Escolano; Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who ...