Partial group (co)actions of Hopf group coalgebras

Author:

Chen Quan-Guo1,Wang Ding-Guo2

Affiliation:

1. School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang, P.R.China

2. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, P.R.China

Abstract

We will develop partial group (co)actions of a Hopf group coalgebra on a family of algebras by introducing partial group entwining structure. Then we give necessary and sufficient conditions for a family of functors from the category of partial group entwining modules to the category of modules over a suitable algebra to be separable. Also, the applications of our results are considered.

Publisher

National Library of Serbia

Subject

General Mathematics

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. Pivotal Weak Turaev $$\pi$$-Coalgebras;Mathematical Notes;2022-12

2. Algebraic loop structures on algebra comultiplications;Open Mathematics;2019-07-24

3. Recent developments around partial actions;São Paulo Journal of Mathematical Sciences;2018-04-09

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