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

Fuente: arXiv
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Main Authors: Djament, Aurélien, Touzé, Antoine
Format: Preprint
Published: 2022
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author Djament, Aurélien
Touzé, Antoine
author_facet Djament, Aurélien
Touzé, Antoine
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2211_16134
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Sur la noeth{é}rianit{é} locale des foncteurs polynomiaux
Djament, Aurélien
Touzé, Antoine
K-Theory and Homology
Representation Theory
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.
title Sur la noeth{é}rianit{é} locale des foncteurs polynomiaux
topic K-Theory and Homology
Representation Theory
url https://arxiv.org/abs/2211.16134