Search Results - "Kurdachenko, L.A."
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Automorphism groups of some non-nilpotent Leibniz algebras
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…”
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On the structure of some nilpotent braces
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…”
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Description of the automorphism groups of some Leibniz algebras
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…”
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On the algebra of derivations of some nilpotent Leibniz algebras
Published in Researches in mathematics (Online) (19-06-2023)“…We describe the algebra of derivations of some nilpotent Leibniz algebra, having dimensionality 3…”
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On some generalizations of Baer's theorem
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…”
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Groups acting on vector spaces with a large family of invariant subspaces
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…”
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Groups with pronormal deviation
Published in Journal of algebra (01-01-2023)Get full text
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On the derivations of Leibniz algebras of low dimension
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (03-05-2023)“…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…”
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On the structure of left braces satisfying the minimal condition for subbraces
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…”
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The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (10-05-2022)“…In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the…”
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On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (27-10-2021)“…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…”
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On analogs of some classical group-theoretic results in Poisson algebras
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (06-07-2021)“…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…”
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Groups with Finitely Many Isomorphic Classes of Relevant Subgroups
Published in Journal of mathematical sciences (New York, N.Y.) (02-10-2023)“…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…”
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On groups, whose non-normal subgroups are either contranormal or core-free
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-10-2020)“…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 = HG. A…”
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On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-07-2020)Get full text
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On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-02-2020)Get full text
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On ideals and contraideals in Leibniz algebras
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-01-2020)Get full text
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On the structure of groups, whose subgroups are either normal or core-free
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-04-2019)Get full text
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A generalization of the malnormal subgroups
Published in Dopovidi Nacionalʹnoï akademiï nauk Ukraïni (01-03-2019)Get full text
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GROUPS WHOSE NON-NORMAL SUBGROUPS HAVE FINITE CONJUGACY CLASSES
Published in Mathematical proceedings of the Royal Irish Academy (01-12-2004)“…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…”
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