morphism

noun
UK /ˈmɔːfɪzəm/
US /ˈmɔːrfɪzəm/

A morphism is a special rule that connects two things in math while keeping their structure the same.

In category theory, a morphism maps objects to objects while preserving their relationships.


OTHER MEANINGS

2. In biology, a morphism can refer to a form or shape variant within a species.

The dark-winged morphism appeared more often in colder regions.

3. A transformation or change in form, especially in linguistic or structural contexts.

The morphism of the word root changed its meaning over centuries.

4. In algebra, a structure-preserving map between algebraic structures.

A group morphism preserves the group operation between two groups.