Homomorphism

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
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."
2
similarity of form wordnet
3
A similar appearance of two unrelated organisms or structures, as for example with fish and whales.

Synonyms

Example

"In algebra a monomorphism is an injective homomorphism."

Etymology

From homo- + morphism.

Related phrases

boundary homomorphism connecting homomorphism graph homomorphism ring homomorphism semigroup homomorphism algebraic structure vector space

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.