The Maschke-type Theorems of Yetter-Drinfeld Hopf Algebras

SHI Mei-hua, JIA Ling

doi:10.13371/j.cnki.chin.q.j.m.2018.03.007

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 3: 287 - 292

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.007

The Maschke-type Theorems of Yetter-Drinfeld Hopf Algebras

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Zhejiang International Studies University , Ludong University. Zhejiang International Studies University , Ludong University.

SHI Mei-hua(1963-): female, native of wenling, Zhejiang Provience, professor in Zhejiang International Studies University.

Accepted date: 2016-12-29

Online published: 2020-10-08

Supported by

Supported by the Natural Science Foundation of Shandong Provience(ZR2012AL02)；

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Abstract

In this paper, we give the Maschke-type theorem for a Yetter-Drinfeld Hopf algebra which extends the famous results for a usual Hopf algebra[3].

Key words： Maschke-type theorem; Yetter-Drinfeld Hopf algebra; Yetter-Drinfeld Hopf module algebra; integral

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SHI Mei-hua, JIA Ling . The Maschke-type Theorems of Yetter-Drinfeld Hopf Algebras[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(3) : 287 -292 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.03.007

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