In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces...

category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the colimit...

(also called the direct sum, free union, free sum, topological sum, or coproduct) of a family of topological spaces is a space formed by equipping the...

a generalization of mathematical products Fibre product or pullback Coproduct or pushout Wick product of random variables Graph product Product (Brand...

the coproduct in the category of the mathematical objects in question. For example, in the category of abelian groups, direct sum is a coproduct. This...

zero objects, is both a product and a coproduct. In a preadditive category the notions of product and coproduct coincide for finite collections of objects...

(and for representation theory in general), the coproduct must be linear. As a general rule, the coproduct in representation theory is reducible; the factors...

disjoint sets is their union. In category theory, the disjoint union is the coproduct of the category of sets, and thus defined up to a bijection. In this context...

homomorphism. (A finite coproduct in the category of commutative algebras over a commutative ring is a tensor product of algebras. A coproduct in the category...

coproduct in the category of commutative R-algebras. The tensor product is not the coproduct in the category of all R-algebras. There the coproduct is...