homomorphism.
A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
Meaning & usage
A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
A similar appearance of two unrelated organisms or structures, as for example with fish and whales.
Where this word comes from
From homo- + morphism.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.