2-hom-associative bialgebras and hom-left symmetric dialgebras
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
TL;DR
This paper introduces new algebraic structures called 2-hom-associative bialgebras and hom-left symmetric dialgebras, expanding the framework of hom-associative algebras with novel constructions and properties.
Contribution
It develops the theory of 2-hom-associative bialgebras and hom-left symmetric dialgebras, providing new algebraic frameworks and construction methods.
Findings
Defined 2-hom-associative bialgebras and related structures
Constructed hom-left symmetric dialgebras
Analyzed properties of these new algebraic systems
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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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Logic