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The Factorization for a Class of Hom-Coalgebras
Joint Authors
Zhang, Xiaohui
Dong, Lihong
Xue, Shuan
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-29
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Dong, Lihong& Xue, Shuan& Zhang, Xiaohui. 2017. The Factorization for a Class of Hom-Coalgebras. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123177
Modern Language Association (MLA)
Dong, Lihong…[et al.]. The Factorization for a Class of Hom-Coalgebras. Advances in Mathematical Physics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1123177
American Medical Association (AMA)
Dong, Lihong& Xue, Shuan& Zhang, Xiaohui. The Factorization for a Class of Hom-Coalgebras. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123177
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123177