1. On the endomorphisms and derivations of some Leibniz algebras
- Author
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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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