Concept information
Preferred term
bialgebra
Definition(s)
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In mathematics, a bialgebra over a field K is a vector space over K which is both a unital associative algebra and a counital coassociative coalgebra. The algebraic and coalgebraic structures are made compatible with a few more axioms. Specifically, the comultiplication and the counit are both unital algebra homomorphisms, or equivalently, the multiplication and the unit of the algebra both are coalgebra morphisms. (These statements are equivalent since they are expressed by the same commutative diagrams.)
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bialgebra)
Broader concept(s)
Narrower concept(s)
In other languages
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French
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bigèbre
URI
http://data.loterre.fr/ark:/67375/PSR-PR1K23N6-S
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