偏 Doi-Hopf 群 结 构

J4 ›› 2011, Vol. 49 ›› Issue (06): 989-992.

偏 Doi-Hopf 群结构

姜秀燕, 李颖, 赵国传, 孙凤芝

大庆师范学院数学科学学院, 黑龙江大庆 163712

收稿日期:2011-01-19 出版日期:2011-11-26 发布日期:2011-11-28
通讯作者: 姜秀燕 E-mail:jiangxy1963@sohu.com

Structures of Partial Doi-Hopf Group

JIANG Xiuyan, LI Ying, ZHAO Guochuan, SUN Fengzhi

School of Mathematical Sciences, Daqing Normal University, Daqing 163712, Heilongjiang Province, China

Received:2011-01-19 Online:2011-11-26 Published:2011-11-28
Contact: JIANG Xiuyan E-mail:jiangxy1963@sohu.com

摘要/Abstract

摘要：

通过引入偏Doi-Hopf群结构和偏DoiHopf群模的概念, 推广了Doi-Hopf结构, 并给出其应用实例和基本的代数性质. 综合群余代数和偏缠绕结构的思想构造了从偏 Doi-Hopf群模范畴到模范畴的忘却函子, 并证明了它有右伴随函子.

关键词: 偏Doi-Hopf群结构, 偏Doi-Hopf群模, 忘却函子

Abstract:

We first introduced the notions of partial DoiHopf group structures and partial DoiHopf group modules which generalize Doi-Hopf structures and DoiHopf modules. Then we gave some examples and basic properties. Mainly we combined the idea of group coalgebras with partial entwining structures to construct the forgetful functor from the category of partial DoiHopf group modules to that of modules and proved that it has a right adjoint functor.

Key words: partial DoiHopf group structure, partial DoiHopf group module, forgetful functor

中图分类号:

O153.6

姜秀燕, 李颖, 赵国传, 孙凤芝. 偏 Doi-Hopf 群结构[J]. J4, 2011, 49(06): 989-992.

JIANG Xiu-Yan, LI Ying, DIAO Guo-Chuan, SUN Feng-Zhi. Structures of Partial Doi-Hopf Group[J]. J4, 2011, 49(06): 989-992.

[1]	姜秀燕, 王志忠, 金天坤, 李秀丽. 偏Doi-Hopf模的Maschke型定理[J]. J4, 2011, 49(02): 259-262.
[2]	姜秀燕, 贾玲. Partial Doi-Hopf模的辫子Monoidal范畴[J]. J4, 2010, 48(02): 241-244.