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arXiv · 2101.12377

Nearly associative and nearly Hom-associative algebras and bialgebras

Mafoya Landry Dassoundo·Sergei Silvestrov
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Abstract

Basic definitions and properties of nearly associative algebras are described. Nearly associative algebras are proved to be Lie-admissible algebras. Two-dimensional nearly associative algebras are classified, and its main classes are derived. The bimodules, matched pairs and Manin triple of a nearly associative algebras are derived and their equivalence with nearly associative bialgebras is proved. Basic definitions and properties of nearly Hom-associative algebras are described. Related bimodules and matched pairs are given, and associated identities are established.

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Mafoya Landry Dassoundo, Sergei Silvestrov. 2021-01-29. Nearly associative and nearly Hom-associative algebras and bialgebras. https://arxiv.org/abs/2101.12377

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