plural of morphism

the state of having a specified shape or form

(mathematics, category theory) (formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises.

plural of classifying morphism

plural of diagonal morphism

plural of identity morphism

plural of universal morphism

plural of twist morphism

plural of zero morphism

(category theory) A unique morphism corresponding to each object of a category, which has its domain equal to its codomain, and which composed with any morphism (with which it is composable) gives that same morphism.