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arXiv · 2211.16134

Sur la noeth{\'e}rianit{\'e} locale des foncteurs polynomiaux

Aurélien Djament·Antoine Touzé
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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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Aurélien Djament, Antoine Touzé. 2022-11-29. Sur la noeth{\'e}rianit{\'e} locale des foncteurs polynomiaux. https://doi.org/10.2140/tunis.2024.6.97

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