Twistings, crossed coproducts, and Hopf-Galois coextensions-Reference-Cited by-同舟云学术

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Twistings, crossed coproducts, and Hopf-Galois coextensions

Published:2003 Issue:69 Volume:2003 Page:4325-4345
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Caenepeel S.¹,Wang Dingguo²,Wang Yanxin³

Affiliation:

1. Faculty of Applied Sciences, Vrije Universiteit Brussel (VUB), Brussels B-1050, Belgium

2. Department of Mathematics, Qufu Normal University, Shandong, Qufu 273165, China

3. Department of Mathematics, Tsinghua University, Beijing 100084, China

Abstract

LetHbe a Hopf algebra. Ju and Cai (2000) introduced the notion of twisting of anH-module coalgebra. In this paper, we study the relationship between twistings, crossed coproducts, and Hopf-Galois coextensions. In particular, we show that a twisting of anH-Galois coextension remainsH-Galois if the twisting is invertible.

Funder

Flemish and Chinese governments

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2003/214195.pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Two results on double crossed biproducts;Hacettepe Journal of Mathematics and Statistics;2022-12-31

2. Some interactions between Hopf Galois extensions and noncommutative rings;Universitas Scientiarum;2022-08-10

3. On representation theory of total (co)integrals;Journal of Algebra and Its Applications;2016-11-24

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