Partial Doi-Hopf模的辫子Monoidal范畴

J4 ›› 2010, Vol. 48 ›› Issue (02): 241-244.

Partial Doi-Hopf模的辫子Monoidal范畴

姜秀燕¹, 贾玲²

1. 大庆师范学院数学系, 黑龙江大庆 163712|2. 鲁东大学数学与信息学院, 山东烟台 264025

收稿日期:2009-05-15 出版日期:2010-03-26 发布日期:2010-03-22
通讯作者: 姜秀燕 E-mail:jiangxy1963@sohu.com

Braid Monoidal Category of Partial Doi-Hopf Modules

JIANG Xiuyan¹, JIA Ling²

1. Deparment of Mathematics, Teacher’s College of Daqing, Daqing 163712, Heilongjiang Province, China;2. College of Mathematics and Information, Ludong University, Yantai 264025, Shandong Province, China

Received:2009-05-15 Online:2010-03-26 Published:2010-03-22
Contact: JIANG Xiuyan E-mail:jiangxy1963@sohu.com

摘要/Abstract

摘要：

通过引入Monoidal Partial Doi-Hopf数组和模的概念及例子, 得到Partial Doi-Hopf模范畴是一个Monoidal范畴. 在此基础上根据多种重要模范畴的辫子结构构造了此范畴的辫子, 并得到了使Partial Doi-Hopf模范畴成为辫子 Monoidal范畴的充要条件.

关键词: Partial缠绕模, Monoidal范畴, 辫子

Abstract:

We firstly introduced the notions of Monoidal Partial Doi-Hopf data and modules and gave some examples so as to make the category of these be a Monoidal category. Subsequently we constructed the braiding on the basis of the braiding structures of some important module categories and obtained the sufficient and necessary conditions for the category of Partial Doi-Hopf modules being braided monoidal category.

Key words: Partial entwined module, Monoidal category； braiding

中图分类号:

O153.6

姜秀燕, 贾玲. Partial Doi-Hopf模的辫子Monoidal范畴[J]. J4, 2010, 48(02): 241-244.

JIANG Xiu-Yan, GU Ling. Braid Monoidal Category of Partial Doi-Hopf Modules[J]. J4, 2010, 48(02): 241-244.

[1]	张涛. Yetter-Drinfeld拟模范畴上的Hopf拟模[J]. 吉林大学学报(理学版), 2020, 58(2): 209-218.
[2]	郭双建, 张晓辉. Turaev辫子群范畴和Doi-Hopf模[J]. 吉林大学学报(理学版), 2017, 55(04): 771-778.