The factorization for a class of Hom-coalgebras
type: Item
instance of: scholarly article
title: The factorization for a class of Hom-coalgebras
zbMATH Open document ID: 1398.16031
DOI: 10.1155/2017/4653172
author: Lihong Dong
author: Shuan Xue
author: Xiaohui Zhang
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: Let \((H, \alpha)\) be a Hom-Hopf algebra and \((C, \beta)\) a Hom-coalgebra. In this paper, we first introduce the notions of Hom-crossed coproduct \(C \rtimes_\lambda H\) 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.
Mathematics Subject Classification ID: 16T15
zbMATH DE Number: 6962627
zbMATH Keywords: Hom-coalgebras
zbMATH Keywords: Hom-Hopf module
zbMATH Keywords: Hom-crossed coproduct
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4653172
OpenAlex ID: W2766400733
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description: scientific article; zbMATH DE number 6962627