Ribbon Entwining Datum

Xiaohui ZHANG, Wei WANG, Xiaofan ZHAO, Shengxiang WANG

Abstract


In this paper, we introduce the notion of the ribbon entwined datum to generalize the definition of (co)ribbon structures, and give
several necessary and sufficient conditions for the category of entwined modules to be a ribbon category. We also discuss the ribbon structures in the Long dimodule category and Yetter-Drinfeld category for applications.


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