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4 - Module (Co)Algebras and (Bi)Comodule Algebras

Published online by Cambridge University Press:  21 February 2019

Daniel Bulacu ,
Stefaan Caenepeel ,
Florin Panaite  and
Freddy Van Oystaeyen
Daniel Bulacu
Affiliation:
Universitatea din Bucureşti, Romania
Stefaan Caenepeel
Affiliation:
Vrije Universiteit Brussel
Florin Panaite
Affiliation:
Institute of Mathematics of the Romanian Academy
Freddy Van Oystaeyen
Affiliation:
Universiteit Antwerpen, Belgium
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Summary

We define the notions of module (co)algebra and (bi)comodule algebra, respectively, over a quasi-bialgebra by using certain categorical points of view and by generalizing the axioms of a quasi-bialgebra, respectively. Then we give concrete classes of examples and the connections that exist between these structures.

Keywords

(bi)module algebra(bi)comodule algebra(bi)module coalgebra for quasi-bialgebras
Type
Chapter
Information
Quasi-Hopf Algebras
A Categorical Approach
 , pp. 147 - 176
Publisher: Cambridge University Press
Print publication year: 2019

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