On the symmetry of the finitistic dimension

For any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.

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Main Author: Krause, Henning
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.481/
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author Krause, Henning
author_facet Krause, Henning
author_sort Krause, Henning
collection DOAJ
description For any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.
format Article
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institution Kabale University
issn 1778-3569
language English
publishDate 2023-11-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-dda5d7348a144fdd90ca40e5ff2f10292025-02-07T11:10:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-11-01361G91449145310.5802/crmath.48110.5802/crmath.481On the symmetry of the finitistic dimensionKrause, Henning0Fakultät für Mathematik Universität Bielefeld D-33501 Bielefeld GermanyFor any ring we propose the construction of a cover which increases the finitistic dimension on one side and decreases the finitistic dimension to zero on the opposite side. This complements recent work of Cummings.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.481/
spellingShingle Krause, Henning
On the symmetry of the finitistic dimension
Comptes Rendus. Mathématique
title On the symmetry of the finitistic dimension
title_full On the symmetry of the finitistic dimension
title_fullStr On the symmetry of the finitistic dimension
title_full_unstemmed On the symmetry of the finitistic dimension
title_short On the symmetry of the finitistic dimension
title_sort on the symmetry of the finitistic dimension
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.481/
work_keys_str_mv AT krausehenning onthesymmetryofthefinitisticdimension