adjoint functor

noun

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.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounadjoint functor (plural adjoint functors)

plural adjoint functors

  1. category theoryOne 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.

Origin

See Galois connection.

Full word history & related roots →
Cite this entry
APA

adjoint functor. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/adjoint%20functor

MLA

“adjoint functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/adjoint%20functor. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “adjoint functor,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/adjoint%20functor.

Source: adjoint functor on Wiktionary, CC BY-SA 4.0.