A monoidal structure on the category of relative Hom-Hopf modules

2020 ◽  
Author(s):  
Xing Wang ◽  
Dingguo Wang ◽  
Xiaohui Zhang
Keyword(s):  
Monoidal Structure ◽  
Hopf Modules

scholarly journals A MONOIDAL STRUCTURE ON THE CATEGORY OF RELATIVE HOPF MODULES

2012 ◽  
Vol 11 (02) ◽  
pp. 1250026
Author(s):  
DANIEL BULACU ◽  
STEFAAN CAENEPEEL
Keyword(s):  
Tensor Product ◽  
Monoidal Category ◽  
Drinfeld Modules ◽  
Braided Monoidal Category ◽  
Monoidal Structure ◽  
Comodule Algebra ◽  
Hopf Modules

Let B be a bialgebra, and A be a left B-comodule algebra in a braided monoidal category [Formula: see text], and assume that A is also a coalgebra, with a not-necessarily associative or unital left B-action. Then we can define a right A-action on the tensor product of two relative Hopf modules, and this defines a monoidal structure on the category of relative Hopf modules if and only if A is a bialgebra in the category of left Yetter–Drinfeld modules over B. Some examples are given.

scholarly journals The monoidal structure on strict polynomial functors

2017 ◽  
Vol 485 ◽  
pp. 213-229 ◽  
Author(s):  
Cosima Aquilino ◽  
Rebecca Reischuk
Keyword(s):  
Monoidal Structure ◽  
Polynomial Functors

Separable Functors for the Category of Doi–Hopf Modules II

2019 ◽  
pp. 69-104
Author(s):  
Stefaan Caenepeel ◽  
Bogdan Ion ◽  
Gigel Militaru ◽  
Shenglin Zhu
Keyword(s):  
Hopf Modules

scholarly journals Symmetric Monoidal Structure with Local Character is a Property

2019 ◽  
Vol 287 ◽  
pp. 179-190
Author(s):  
Stefano Gogioso ◽  
Dan Marsden ◽  
Bob Coecke
Keyword(s):  
Local Character ◽  
Monoidal Structure

Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules

2021 ◽  
Author(s):  
Huihui Zheng ◽  
Yuxin Zhang ◽  
Liangyun Zhang
Keyword(s):  
Hopf Modules

Separable functors for the category of Doi Hom-Hopf modules

2015 ◽  
pp. 1-15
Author(s):  
Shuangjian Guo ◽  
Xiaohui Zhang
Keyword(s):  
Hopf Modules
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