Sur la noeth{é}rianit{é} locale des foncteurs polynomiaux

Abstract

Let A be a finitely-generated commutative ring and k a noetherian commutative ring. We show that, in the category of functors from finitely-generated projective A-modules to k-modules, each finitely-generated polynomial functor is noetherian and has a finitely-generated projective resolution.

15 pages, in French language

References in corpus (3)

• Gröbner methods for representations of combinatorial categories
• Representation stability and finite linear groups
• Homological finiteness of functors on an additive category and applications