The Factorization for a Class of Hom‐Coalgebras

Lihong Dong, Shuan Xue and Xiaohui Zhang

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: Let (H, α) be a Hom‐Hopf algebra and (C, β) a Hom‐coalgebra. In this paper, we first introduce the notions of Hom‐crossed coproduct C ⋊λ 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.

Date: 2017
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https://doi.org/10.1155/2017/4653172

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:4653172

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