The Braided Monoidal Structure on the Category of Comodules of Bimonads  

作　　者：Bingliang Shen Xiaoguang Zou Nanqing Ding 

机构地区：[1]Zhejiang College,Shanghai University of Finance and Economics Jinhua,Zhejiang 321013,China [2]不详

出　　处：《Algebra Colloquium》2019年第4期565-578,共14页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11601486);Foundation of Zhejiang Educational Commitee(No.Y201738645);Project of Zhejiang College,Shanghai University of Finance and Economics(No.2018YJYB01).

摘　　要：We investigate how the category of comodules of bimonads can be made into a monoidal category.It suffices that the monad and comonad in question are bimonads,with some extra compatibility relation.On a monoidal category of comodules of bimonads,we cons true t a braiding and get the necessary and sufficien t conditions making it a braided monoidal category.As an application,we consider the category of comodules of corings and the category of entwined modules.

关 键 词：MONAD COMONAD bimonad braided monoidal category 

分 类 号：O15[理学—数学]