bialgebra

A bialgebra is a vector space that is both a unital algebra and a coalgebra, such that the comultiplication and counit are unital algebra homomorphisms.

A bialgebra homomorphism is a linear map that is both an algebra and a coalgebra homomorphism.

bialgebra is owned by mhale.

How to Cite This Entry

mhale. "bialgebra" (version 3). PlanetMath.org. Freely available at http://planetmath.org/Bialgebra.html.

Classification

AMS MSC:

16W30 (Associative rings and algebras :: Rings and algebras with additional structure :: Coalgebras, bialgebras, Hopf algebras ; rings, modules, etc. on which these act)

Pending Errata and Addenda

None.

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