Search Results - "Pypka, O. O."

Some Relationships between the Generalized Central Series of Leibniz Algebras by Pypka, O. O.

“…We prove the existence of a close relationship between the generalized central series of Leibniz algebras. We also prove some analogs of the classical Schur…”
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On the Automorphism Groups for Some Leibniz Algebras of Low Dimensions by Kurdachenko, L. A., Pypka, O. O., Velychko, T. V.

“…We study the automorphism groups of Leibniz algebras of low dimensions and obtain complete descriptions of the automorphism groups of Leibniz algebras of…”
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Correction to: On Leibniz Algebras Whose Subalgebras Are Either Ideals or Self-Idealizing Subalgebras by Kurdachenko, L. A., Pypka, O. O., Subbotin, I. Ya

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On Leibniz Algebras whose Subalgebras are Either Ideals or Self-Idealizing Subalgebras by Kurdachenko, I. A., Pypka, O. O., Subbotin, I. Ya

“…A subalgebra S of a Leibniz algebra L is called self-idealizing in L if it coincides with its idealizer I L ( S ) . We study the structure of Leibniz algebras…”
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On the Relationships Between Central Series in Some Locally Finite Groups by Pypka, O. O.

“…It is shown that the class of locally finite divisible-by-bounded groups is both a Schur class and a Baer class…”
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Description of the automorphism groups of some Leibniz algebras by Kurdachenko, L.A., Pypka, O.O., Semko, M.M.

“…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 some relationships between the centers and the derived ideal in Leibniz 3-algebras by Minaiev, P. Ye, Pypka, O. O

“…One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite,…”
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On some relationships between the center and the derived subalgebra in Poisson (2-3)-algebras by Minaiev, P. Ye, Pypka, O. O, Shyshenko, I. V

“…One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite,…”
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On the automorphism groups of some nilpotent 3-dimensional Leibniz algebras by Kurdachenko, L. A, Pypka, O. O, Semko, M. M

“…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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Automorphism groups of some 3-dimensional Leibniz algebras by Kurdachenko, L. A, Pypka, O. O, Semko, M. M

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

“…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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Some three-dimensional non-nilpotent Leibniz algebras: automorphism groups by Kurdachenko, Leonid A, Pypka, Oleksandr O, Subbotin, Igor Ya

“…The article presents the structure of the automorphism groups of two types of non-nilpotent Leibniz algebras with a dimension of 3…”
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On the inner structure of 3-dimensional Leibniz algebras by Kurdachenko, Leonid A, Pypka, Oleksandr O, Subbotin, Igor Ya

“…Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$…”
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