Identities in mutations of bicommutative algebras

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Date

2024

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Faculty of Engineering and Natural Sciences

Abstract

An algebra with identities a·(b·c) = b·(a·c), (a·b)·c = (a·c)·b is called bicommutative. In this work, we study bicommutative algebras under mutation product and prove that any bicommutative algebra under mutation product satisfies a Lie-admissible identity, which follows from two independent identities of the third degree, and we obtain all identities of the fourth degree.

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Ostemirova M / Identities in mutations of bicommutative algebras / 7M05401 - Department of Mathematics and Natural Sciences / 2024

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