Hom-coassociative ternary coalgebras and infinitesimal bialgebras
Mahouton Norbert Hounkonnou, Gbevewou Damien Houndedji
TL;DR
This paper introduces and studies hom-coassociative ternary coalgebras and their infinitesimal bialgebra structures, exploring their dual spaces and properties to advance understanding of complex algebraic systems.
Contribution
It constructs and analyzes hom-coassociative ternary coalgebras and their infinitesimal bialgebraic structures, providing new insights into their dual spaces and properties.
Findings
Construction of hom-coassociative ternary coalgebras
Investigation of their infinitesimal bialgebra structures
Elucidation of dual space properties
Abstract
In this work, the partially and totally hom-coassociative ternary coalgebras are constructed and discussed. Their {infinitesimal} bialgebraic structures are also investigated. The related dual space structures and their properties are elucidated.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology