Search Results - "Kurdachenko, L.A."

Refine Results
  1. 1

    Automorphism groups of some non-nilpotent Leibniz algebras by Kurdachenko, L.A., Minaiev, P.Ye, Pypka, O.O.

    Published in Researches in mathematics (Online) (08-07-2024)
    “…Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz…”
    Get full text
    Journal Article
  2. 2

    On the structure of some nilpotent braces by Dixon, M.R., Kurdachenko, L.A.

    Published in Researches in mathematics (Online) (19-06-2023)
    “…We prove a criteria for nilpotency of left braces in terms of the $\star$-central series and also discuss Noetherian braces, obtaining some of their elementary…”
    Get full text
    Journal Article
  3. 3

    Description of the automorphism groups of some Leibniz algebras by Kurdachenko, L.A., Pypka, O.O., Semko, M.M.

    Published in Researches in mathematics (Online) (19-06-2023)
    “…Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz…”
    Get full text
    Journal Article
  4. 4

    On the algebra of derivations of some nilpotent Leibniz algebras by Kurdachenko, L.A., Semko, M.M., Yashchuk, V.S.

    Published in Researches in mathematics (Online) (19-06-2023)
    “…We describe the algebra of derivations of some nilpotent Leibniz algebra, having dimensionality 3…”
    Get full text
    Journal Article
  5. 5

    On some generalizations of Baer's theorem by Kurdachenko, L.A., Pypka, A.A.

    Published in Karpats'kì matematinì publìkacìï (27-12-2014)
    “…In this paper we obtained new automorphic analogue of Baer's theorem for the case when an arbitrary subgroup $A\leq Aut(G)$ includes a group of inner…”
    Get full text
    Journal Article
  6. 6

    Groups acting on vector spaces with a large family of invariant subspaces by Kurdachenko, L.A., Muñoz-Escolano, J.M., Otal, J.

    Published in Linear & multilinear algebra (01-04-2012)
    “…Let A be a vector space over a field F, and let GL(F, A) be the group of all F-automorphisms of A. A subgroup G ≤ GL(F, A) is called a linear group (on A) and…”
    Get full text
    Journal Article
  7. 7
  8. 8

    On the derivations of Leibniz algebras of low dimension by Kurdachenko, L.A., Semko, M.M., Yashchuk, V.S.

    “…Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left…”
    Get full text
    Journal Article
  9. 9

    On the structure of left braces satisfying the minimal condition for subbraces by Ballester-Bolinches, A., Esteban-Romero, R., Kurdachenko, L.A., Pérez-Calabuig, V.

    Published in Journal of algebra (15-01-2025)
    “…We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as…”
    Get full text
    Journal Article
  10. 10

    The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras by Kurdachenko, L.A., Pypka, O.O., Subbotin, I.Ya

    “…In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the…”
    Get full text
    Journal Article
  11. 11

    On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras by Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya

    “…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…”
    Get full text
    Journal Article
  12. 12

    On analogs of some classical group-theoretic results in Poisson algebras by Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya

    “…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…”
    Get full text
    Journal Article
  13. 13

    Groups with Finitely Many Isomorphic Classes of Relevant Subgroups by Kurdachenko, L. A., Longobardi, P., Maj, M.

    “…We study groups possessing the following property: for some relevant families M of subgroups of G , subgroups from M fall into finitely many isomorphic classes…”
    Get full text
    Journal Article
  14. 14

    On groups, whose non-normal subgroups are either contranormal or core-free by Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya

    “…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 = HG. A…”
    Get full text
    Journal Article
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20

    GROUPS WHOSE NON-NORMAL SUBGROUPS HAVE FINITE CONJUGACY CLASSES by Kurdachenko, L.A., Otal, J., Russo, A., Vincenzi, G.

    “…We consider the class of all groups whose non-normal subgroups are FC-groups. In particular, it will be proved that if such a group is soluble-by-fmite, then…”
    Get full text
    Journal Article