Structures and comodules of Hom-post Lie coalgebras
Rings and Algebras
2026-02-16 v1
Abstract
In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras and Hom-post-LIe algebras respectively. We give some properties related to them. Then, we study the relationships between them and their connection with post-Hom-Poisson coalgebras. Next, using the Yau stwisting in the modules case, we give some constructions of comodules over post-Hom-Lie coalgebras by twisting either the comodule structures or post-Hom-Lie coalgebra structures.
Keywords
Cite
@article{arxiv.2602.12671,
title = {Structures and comodules of Hom-post Lie coalgebras},
author = {Damien Houndedji and Ibrahima Bakayoko},
journal= {arXiv preprint arXiv:2602.12671},
year = {2026}
}