Open AccessRibbon entwining datum
Author(s) -
Xiao-Hui Zhang,
Wei Wang,
Xiangui Zhao,
Shengxiang Wang
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2009065z
Subject(s) - ribbon , geodetic datum , mathematics , field (mathematics) , pure mathematics , algebra over a field , geometry , cartography , geography
Let (C,A,?) be an entwining structure over a field k. 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-Drinfel?d category for applications.