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5 results on '"17A32, 17A60, 17A99"'

2. On the endomorphisms and derivations of some Leibniz algebras

Author

Kurdachenko, Leonid A., Subbotin, Igor Ya., and Yashchuk, Viktoriia S.

Subjects
Mathematics - Rings and Algebras, 17A32, 17A60, 17A99
Abstract

We study endomorphisms and derivations of infinite dimensional cyclic Leibniz algebra.

Published
2021

3. On Leibniz algebras, whose subalgebras are either ideals or self-idealizing

Author

Kurdachenko, Leonid A., Pypka, Aleksandr A., and Subbotin, Igor Y.

Subjects
Mathematics - Rings and Algebras, 17A32, 17A60, 17A99
Abstract

A subalgebra S of a Leibniz algebra L is called self-idealizing in L if it coincides with its idealizer IL(S). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing.

Published
2021

4. On Leibniz algebras with maximal cyclic subalgebras

Author

Chupordia, Vasyli A., Kurdachenko, Leonid A., and Subbotin, Igor Ya.

Subjects
Mathematics - Rings and Algebras, 17A32, 17A60, 17A99
Abstract

We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras

Published
2021

5. On the endomorphisms and derivations of some Leibniz algebras

Author

Leonid A. Kurdachenko, Igor Ya. Subbotin, and Viktoriia S. Yashchuk

Subjects
Algebra and Number Theory, Mathematics::Operator Algebras, Mathematics::K-Theory and Homology, Rings and Algebras (math.RA), Applied Mathematics, Mathematics::History and Overview, Mathematics::Rings and Algebras, FOS: Mathematics, Mathematics - Rings and Algebras, 17A32, 17A60, 17A99
Abstract

We study the endomorphisms and derivations of an infinite-dimensional cyclic Leibniz algebra. Among others it was found that if [Formula: see text] is a cyclic infinite-dimensional Leibniz algebra over a field [Formula: see text], then the group of all automorphisms of [Formula: see text] is isomorphic to a multiplicative group of the field [Formula: see text]. The description of an algebra of derivations of a cyclic infinite-dimensional Leibniz algebra has been obtained.

Published
2021
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