subfunctor
nounEtymology From sub- + functor.
1
Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences 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.2015, Serge Bouc, Jacques Thévenaz, “The representation theory of finite sets and correspondences”, in arXiv: