Group Twisted Tensor Biproducts over&nbsp;Hopf Group Coalgebras

CHEN Quan-guo, TANG Jian-gang

doi:10.13371/j.cnki.chin.q.j.m.2014.02.018

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 2: 274 - 282

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.018

Group Twisted Tensor Biproducts over Hopf Group Coalgebras

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School of Mathematics and Statistics, Yili Normal University

CHEN Quan-guo(1980-), male, native of Shangqiu, Henan, an associate professor of Yili Normal University, Ph.D., engages in Hopf algebras.

Received date: 2012-11-30

Online published: 2023-04-10

Supported by

Supported by the Fund of the Key Disciplines of Xinjiang Uygur Autonomous Region(2012ZDXK03)

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Abstract

In this paper, we introduce the concept of a group twisted tensor biproduct and give the necessary and sufficient conditions for the new object to be a Hopf group coalgebra.

Key words： Hopf group coalgebra; twisted tensor biproduct; comodule coalgebra

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CHEN Quan-guo, TANG Jian-gang . Group Twisted Tensor Biproducts over Hopf Group Coalgebras[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(2) : 274 -282 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.018

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