isomorphism.

An invertible structure-preserving correspondence between structures.

Use it for

Words that belong together

• structural isomorphism
• algebraic isomorphism

On the page

The isomorphism preserved the operation in both directions.

Visual resemblance alone did not establish an isomorphism.

Usage notes

Primary category: academic / formal. Forms: Singular isomorphism; plural isomorphisms. 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.