Standard Lemma guide

coproduct

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

The colimit of two (or more) objects, without regard to any morphisms between them.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Narrower terms: disjoint union, direct sum, free product, wedge sum

History

Etymology

Etymology tree Proto-Indo-European *ḱe? Proto-Indo-European *ḱóm Proto-Italic *kom Proto-Italic *kom- Latin con- Latin co-der. English co- Proto-Indo-European *per-der.? Proto-Indo-European *per-der.? Proto-Indo-European *pér Proto-Indo-European *-o Proto-Indo-European *pró Proto-Indo-European *pro- Proto-Italic *pro- Latin prō- Proto-Indo-European *dewk- Proto-Indo-European *déwkti Proto-Italic *doukō Latin dūcō Latin prōdūcō Latin prōductusder. Middle English product English product English coproduct From co- + product.

Across languages

Translations

2 source translations are retained for this English entry.

  • German: Koprodukt — mathematical structure
  • Russian: копроизведение (koproizvedenije) — mathematical structure