弱Hopf代数上的弱Alternative Doi-Hopf模

数学物理学报 ›› 2008, Vol. 28 ›› Issue (6): 1067-1076.

弱Hopf代数上的弱Alternative Doi-Hopf模

贾玲|李方

(鲁东大学数学与信息学院山东烟台 264025)

收稿日期:2006-11-05 修回日期:2008-05-11 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 贾玲
基金资助:
浙江省自然科学基金(102028)和鲁东大学博士基金(LY20062703)资助

Alternative Doi-Hopf Modules over Weak Hopf Algebras

Jia Ling|Li Fang

(Department of Mathematics, Ludong University, Yantai 264025)

Received:2006-11-05 Revised:2008-05-11 Online:2008-12-25 Published:2008-12-25
Contact: Jia Ling

摘要/Abstract

摘要：

该文首先引入了弱Hopf代数上的弱Alternative Doi-Hopf模,然后构造了从弱Alternative Doi-Hopf模范畴到模范畴(余模范畴)忘却函子的伴随函子.

关键词: 弱Hopf代数, 弱Alternative Doi-Hopf模

Abstract:

In this paper, we first introduce the notion of weak alternative Doi-Hopf modules, and then mainly give the construction of adjoint functor to the functor from the category of weak alternative Doi-Hopf modules to the category of modules (resp. comodules) disregarding the coaction (resp. the action).

Key words: Weak Hopf algebra, Weak alternative Doi-Hopf module

中图分类号:

16W30

贾玲|李方. 弱Hopf代数上的弱Alternative Doi-Hopf模[J]. 数学物理学报, 2008, 28(6): 1067-1076.

Jia Ling|Li Fang. Alternative Doi-Hopf Modules over Weak Hopf Algebras[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1067-1076.