1. a product produced together with another product in the same manufacturing process, often as a byproduct or secondary output
Usage: common in industrial and chemical manufacturing contexts
2. in mathematics and category theory, a construction that generalizes the notion of a disjoint union or direct sum
Usage: technical; used in abstract algebra and topology

Examples

• Glycerin is a valuable coproduct of biodiesel production.
• The refinery generates propane as a coproduct when processing crude oil.
• In the chemical process, acetone and phenol are coproducts.
• The coproduct from soap manufacturing can be used in other industries.
• Mathematicians use the coproduct to combine objects in category theory.