Sur la noeth{\'e}rianit{\'e} locale des foncteurs polynomiaux
K-Theory and Homology
2024-01-31 v2 Representation Theory
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.
Cite
@article{arxiv.2211.16134,
title = {Sur la noeth{\'e}rianit{\'e} locale des foncteurs polynomiaux},
author = {Aurélien Djament and Antoine Touzé},
journal= {arXiv preprint arXiv:2211.16134},
year = {2024}
}
Comments
15 pages, in French language