Partial Doi-Hopf模的辫子Monoidal范畴

Braid Monoidal Category of Partial Doi-Hopf Modules

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.

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.