adjoint functor

Noun

(category theory) One of a pair of functors such that the domain and codomain of one of them are identical to the codomain and domain of the other one, respectively, and such that there is a pair of natural transformations which turns the pair of functors into an adjunction.

Japanese Meaning

随伴関手 – カテゴリ理論において、一組の関手のうち、片方の関手の定義域と対域が、もう片方の関手の対域と定義域とそれぞれ一致し、さらに互いに対応する自然変換が存在して、両関手が随伴関係を形成するものを指す。