Перегляд за автором "Subbotin, I.Ya."

Сортувати за: Порядок: Результатів:

  • On the role played by anticommutativity in Leibniz algebras 
    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).
  • On the structure of groups, whose subgroups are either normal or core-free 
    Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Доповіді НАН України, 2019)
    We investigate the influence of some natural types of subgroups on the structure of groups. A subgroup H of the group G is called core-free if CoreG(H) = 〈1〉. We study the groups, in which every subgroup is either normal ...
  • On various rank conditions in infinite groups 
    Dixon, M.R.; Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2007)
    In the current survey the authors consider some ofthe main theorems concerning groups satisfying certain rank con-ditions. They present these theorems starting with recently estab-lished results. This order of exposition ...
  • S. N. Chernikov and the development of infinite group theory 
    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 ...
  • Some aspects of Leibniz algebra theory 
    Kirichenko, V.V.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2017)
    One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is ...
  • Some related to pronormality subgroup families and the properties of a group 
    Kirichenko, V.V.; Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2011)
    Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to ...
  • The description of the automorphism groups of finitedimensional cyclic Leibniz algebras 
    Kurdachenko, L.A.; Pypka, O.O.; Subbotin, I.Ya. (Доповіді НАН України, 2022)
    In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz ...