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2 - Algebras and Coalgebras in Monoidal Categories

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 algebra and coalgebra, and bialgebra and Hopf algebra, respectively, within a monoidal and a (pre-)braided monoidal category, respectively.

Keywords

algebracoalgebrabialgebraHopf algebra in a (braided) monoidal category
Type
Chapter
Information
Quasi-Hopf Algebras
A Categorical Approach
 , pp. 55 - 102
Publisher: Cambridge University Press
Print publication year: 2019

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