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浙江大学学报（理学版）
浙江大学学报（理学版）  2017, Vol. 44 Issue (2): 181-185    DOI: 10.3785/j.issn.1008-9497.2017.02.010
数学与计算机科学     
Cat弱Hopf代数
陈笑缘
浙江商业职业技术学院, 浙江 杭州 310053
Cat weak Hopf algebras
CHEN Xiaoyuan
Zhejiang Business College, Hangzhou 310053, China
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摘要： 首先引入pre-cat弱Hopf代数和cat弱Hopf代数来刻画具有投射的弱Hopf代数的性质，并建立pre-cat弱Hopf代数的张量范畴，证明了pre-cat弱Hopf代数是cat弱Hopf代数的充要条件，从而推广了LODAY引入的cat-群和cat Hopf代数的相应结论.
关键词： 弱Hopf代数;  投射;  cat弱Hopf代数    
Abstract: In this paper, we first introduce the notions of pre-cat weak Hopf algebras and cat weak Hopf algebras to characterize the structures of weak Hopf algebras with projections. Then, we give the monoidal category of these objects which generalize the results of cat Hopf algebras and cat-groups introduced by LODAY.
Key words: weak Hopf algebra    projection    cat weak Hopf algebra
收稿日期: 2015-01-21 出版日期: 2017-07-08
CLC:  O153.3  
作者简介: 陈笑缘(1963-),ORCID:http://orcid.org/0000-0003-2898-9976,女,教授,主要从事代数学研究,E-mail:cxy5988@sina.com.
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引用本文:

陈笑缘. Cat弱Hopf代数[J]. 浙江大学学报（理学版）, 2017, 44(2): 181-185.

CHEN Xiaoyuan. Cat weak Hopf algebras. Journal of ZheJIang University(Science Edition), 2017, 44(2): 181-185.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2017.02.010    或    https://www.zjujournals.com/sci/CN/Y2017/V44/I2/181

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