Sweedler duality for Hom-(co)algebras and Hom-(co)modules
Rings and Algebras
2025-07-29 v2
Abstract
We establish a dual version of infinite-dimensional Hom-algebras and Hom-modules by using the Sweedler duality construction. Additionally, linear morphisms between infinite-dimensional Hom-algebras (resp. Hom-modules) and Hom-coalgebras (resp. Hom-comodules) are derived under this construction. As an application, we present a Hom-type binary linearly recursive sequence and show that the Sweedler duality construction can be utilized to determine the minimal polynomials of finite-codimensional ideals.
Keywords
Cite
@article{arxiv.2405.11838,
title = {Sweedler duality for Hom-(co)algebras and Hom-(co)modules},
author = {Jiacheng Sun and Shuanhong Wang and Chi Zhang and Haoran Zhu},
journal= {arXiv preprint arXiv:2405.11838},
year = {2025}
}
Comments
15 pages