Geodesic
Des propriétés de finitude des foncteurs polynomiaux
Aurélien Djament1
1 CNRS, laboratoire de mathématiques Jean Leray (UMR 6629) 2 rue de la Houssinière, BP 92208 44322 Nantes Cedex 3, France
Fundamenta Mathematicae, Tome 233 (2016) no. 3, pp. 197-256.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors (notion introduced by Djament and Vespa) from a small symmetric monoidal category whose unit is an initial object to an abelian category. We prove in particular that the category of polynomial functors from the category of free abelian groups $\mathbb {Z}^n$ with split monomorphisms to abelian groups is “almost” locally noetherian. We also give an application to functors related to automorphisms of free groups.
DOI : 10.4064/fm954-8-2015
Mots-clés : study finiteness properties especially noetherian property krull dimension variation finite presentation categories polynomial functors notion introduced djament vespa small symmetric monoidal category whose unit initial object abelian category prove particular category polynomial functors category abelian groups mathbb split monomorphisms abelian groups almost locally noetherian application functors related automorphisms groups

Aurélien Djament 1

1 CNRS, laboratoire de mathématiques Jean Leray (UMR 6629) 2 rue de la Houssinière, BP 92208 44322 Nantes Cedex 3, France 
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Aurélien Djament. Des propriétés de finitude des foncteurs polynomiaux. Fundamenta Mathematicae, Tome 233 (2016) no. 3, pp. 197-256. doi : 10.4064/fm954-8-2015. http://geodesic.mathdoc.fr/articles/10.4064/fm954-8-2015/

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