Des propriétés de finitude des foncteurs polynomiaux

• Autorzy: Aurélien Djament
• Języki publikacji: FR EN

Abstrakty

EN

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 ℤⁿ with split monomorphisms to abelian groups is "almost" locally noetherian. We also give an application to functors related to automorphisms of free groups.

Kategorie tematyczne

• 18E15: Grothendieck categories
• 18E35: Localization of categories
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
• 18A25: Functor categories, comma categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 233
• Numer: 3
• Strony: 197-256

Daty

wydano

2016

Twórcy

autor

Aurélien Djament

• CNRS, laboratoire de mathématiques Jean Leray (UMR 6629), 2 rue de la Houssinière, BP 92208, 44322 Nantes Cedex 3, France

Identyfikatory

DOI

10.4064/fm954-8-2015