coproduct

Noun

Meaning

Any of multiple products that are produced at the same time, or by the same process

(mathematics) The colimit of two (or more) objects, without regard to any morphisms between them.
The coproduct is a structure constructed from several similar structures, equipped with appropriate inclusion maps, which generalises the disjoint union of sets, of topological spaces and the free product of groups.
Hyponyms: disjoint union, direct sum, free product, wedge sum
Meronym: inclusion

Related terms

Examples

Another possible alternative is a yeast-based coproduct of bioethanol production, proteinaceous fermentation biomass. Source: Internet

A variant of this construction is the direct sum (also called coproduct and denoted ), where only tuples with finitely many nonzero vectors are allowed. Source: Internet

Dually, an initial object is a colimit of the empty diagram ∅ → C and can be thought of as an empty coproduct or categorical sum. Source: Internet

In this case, we obtain the coproduct in the appropriate category of all objects carrying the additional structure. Source: Internet

The free product is the coproduct in the category of R-algebras. Source: Internet

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