Radford $[(m,k),m]$-biproduct Theorem for Generalized Hom-crossed Products
Rings and Algebras
2025-10-21 v1
Abstract
In this paper, we mainly provide a new approache to construct Hom-Hopf algebras. For this, we introduce and study the notion of a left -Hom-crossed product structure as a generalization of -Hom-smash product structure. Then one combines this -Hom-crossed product structure and a left -Hom-smash coproduct structure to build Radford -biproduct theorem. Finally, we study Hom admissible mappping system to characterize this Radford -biproduct structure.
Keywords
Cite
@article{arxiv.2510.17216,
title = {Radford $[(m,k),m]$-biproduct Theorem for Generalized Hom-crossed Products},
author = {Botong Gai and Shuanhong Wang},
journal= {arXiv preprint arXiv:2510.17216},
year = {2025}
}