Sur la noeth{\'e}rianit{\'e} locale des foncteurs polynomiaux
classification
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math.RT
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finitely-generatedcommutativenoetherianprojectiveringa-modulescategoryfoncteurs
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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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