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

Published 29 Nov 2022 in math.KT and math.RT | (2211.16134v2)

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.

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