The Factorization for a Class of Hom-Coalgebras

Lihong Dong, Shuan Xue and Xiaohui Zhang

Advances in Mathematical Physics, 2017, vol. 2017, 1-14

Abstract:

Let be a Hom-Hopf algebra and a Hom-coalgebra. In this paper, we first introduce the notions of Hom-crossed coproduct and cleft coextension and then discuss the equivalence between them. Furthermore, we discuss the relation between cleft coextension and Hom-module coalgebra with the Hom-Hopf module structure and obtain a Hom-coalgebra factorization for Hom-module coalgebra with the Hom-Hopf module structure.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4653172

DOI: 10.1155/2017/4653172

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