Definition, Meaning & Synonyms

morphism

Noun

/ˈmɔːrfɪzəm/

Definition

A morphism is a structure-preserving map between two mathematical structures, often used in category theory.

Examples

The concept of a homomorphism is a specific type of morphism in algebra.
In category theory, morphisms connect objects and reveal their structural relationships.

Meaning

In mathematics, morphisms indicate a relationship or transformation that allows one to compare different structures while maintaining their properties.