Binary Leibniz Algebras
Ismailov N.A. Dzhumadil’daev A.S.
September 2021Pleiades journals
Mathematical Notes
2021#110Issue 3-4322 - 328 pp.
Abstract: An algebra is called a binary Leibniz algebra if each of its two-generated subalgebras is a Leibniz algebra. In the present paper, we give a description of binary Leibniz algebras in terms of identities. As a consequence, we show that the variety of binary Leibniz algebras is not Schreier and that the freedom theorem fails to hold for this variety.
binary Lie algebra , Leibniz algebra , polynomial identity
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Astana IT University, Nur-Sultan, 010000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Almaty, 050010, Kazakhstan
Kazakh–British Technical University, Almaty, 050000, Kazakhstan
Astana IT University
Institute of Mathematics and Mathematical Modeling
Kazakh–British Technical University
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