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arXiv · 1801.05683

2-hom-associative bialgebras and hom-left symmetric dialgebras

Mahouton Norbert Hounkonnou·Gbevewou Damien Houndedji
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Abstract

From the definition and properties of unital hom-associative algebras, and the use of the Kaplansky's constructions, we develop new algebraic structures called 2-hom-associative bialgebras, 2-hom-bialgebras, and 2-2-hom-bialgebras. Besides, we devise a construction of hom-left symmetric dialgebras and discuss their main relevant properties.

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Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji. 2018-01-17. 2-hom-associative bialgebras and hom-left symmetric dialgebras. https://arxiv.org/abs/1801.05683

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