Subfunctor

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A functor such that all of the objects it maps are mapped by the parent functor, and for any arrow it maps the parent functor includes the same mapping (although it may also map arrows from the same domain to additional images outside the image of the subfunctor).

    "Also, if k is noetherian, then any subfunctor of a finitely generated functor is finitely generated."

Example

More examples

"Also, if k is noetherian, then any subfunctor of a finitely generated functor is finitely generated."

Etymology

From sub- + functor.

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.