Main Page | See live article | Alphabetical index A coalgebra is the categorical dual of a unital associative algebra over a field K. K-Vect is the symmetric monoidal category of vector spaces over K with K being the identity of the monoid. A structure is a coalgebra if C is an object of K-Vect, and and are morphisms satisfying the following commutative diagrams: See also: bialgebra, coproduct This article is a stub. You can help Wikipedia by fixing it. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.