Hom-coassociative ternary coalgebras and infinitesimal bialgebras

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.

References in corpus (13)

• Deformations of Lie Algebras using $\sigma$-derivations
• Hom-algebras and homology
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Hom-bialgebras and comodule Hom-algebras
• Universal differential calculus on ternary algebras
• Triple Products and Yang-Baxter Equation (I): Octonionic and Quaternionic Triple Systems
• Hom-Algebras and Hom-Coalgebras
• Hopf algebras for ternary algebras
• A Poincaré-Birkhoff-Witt criterion for Koszul operads
• Basic concepts of ternary Hopf algebras
• n-ary associative algebras, cohomology, free algebras and coalgebras
• On the NonKoszulity of (2p+1)-ary partially associative Operads
• Notes on Cohomologies of Ternary Algebras of Associative Type