Des propriétés de finitude des foncteurs polynomiaux

Aurélien Djament

Fundamenta Mathematicae (2016)

  • Volume: 233, Issue: 3, page 197-256
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Aurélien Djament. "Des propriétés de finitude des foncteurs polynomiaux." Fundamenta Mathematicae 233.3 (2016): 197-256. <http://eudml.org/doc/283246>.

@article{AurélienDjament2016,
author = {Aurélien Djament},
journal = {Fundamenta Mathematicae},
keywords = {polynomial functors; noetherian objects; abelian categories; quotient categories; Krull dimension},
language = {fre},
number = {3},
pages = {197-256},
title = {Des propriétés de finitude des foncteurs polynomiaux},
url = {http://eudml.org/doc/283246},
volume = {233},
year = {2016},
}

TY - JOUR
AU - Aurélien Djament
TI - Des propriétés de finitude des foncteurs polynomiaux
JO - Fundamenta Mathematicae
PY - 2016
VL - 233
IS - 3
SP - 197
EP - 256
LA - fre
KW - polynomial functors; noetherian objects; abelian categories; quotient categories; Krull dimension
UR - http://eudml.org/doc/283246
ER -

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