As nouns the difference between morphism and adjunction
is that morphism
is (mathematics|formally) an arrow in a category while adjunction
is the act of joining; the thing joined or added.
(mathematics, formally) an arrow in a category.
(mathematics, less formally) a map which preserves structure, in a way that depends on the branch of mathematics where it arises.
* measurable function
The act of joining; the thing joined or added.
(category theory) A form of similarity between a pair of categories mapped to each other by dual morphisms.
(legal) The joining of personal property owned by one to that owned by another.