Meaning of subfunctor | Babel Free

Definitions

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).

Examples

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

CEFR level