homomorphism.

A mapping that preserves specified structural operations or relations.

Use it for

Words that belong together

• group homomorphism
• algebraic homomorphism

On the page

The group homomorphism preserved the operation under the stated rule.

The mapping was a homomorphism without being one-to-one.

Usage notes

Primary category: academic / formal. Forms: Singular homomorphism; plural homomorphisms. Legacy lexical fields mirror sense 1 only. Use numbered sense fields for all meanings. Established modern English lexical item. No separate regional spelling or grammatical inflection entry. Writing functions: explicit explanation, scope and categorization, proof and interpretation, philosophical foundations. Disciplines: academic writing, formal reasoning, philosophy. Commonness: uncommon.