Comptes Rendus
Théorie des représentations
On the symmetry of the finitistic dimension
Henning Krause1
1 Fakultät für Mathematik Universität Bielefeld D-33501 Bielefeld Germany
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1449-1453.

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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DOI : 10.5802/crmath.481
Classification : 16E10
Henning Krause 1

1 Fakultät für Mathematik Universität Bielefeld D-33501 Bielefeld Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Henning Krause. On the symmetry of the finitistic dimension. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1449-1453. doi : 10.5802/crmath.481. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.481/

[1] Maurice Auslander; David A. Buchsbaum Homological dimension in noetherian rings. II, Trans. Am. Math. Soc., Volume 88 (1958), pp. 194-206 | MR | Zbl

[2] Hyman Bass Finitistic dimension and a homological generalization of semi-primary rings, Trans. Am. Math. Soc., Volume 95 (1960), pp. 466-488 | DOI | MR | Zbl

[3] Charley Cummings Left-right symmetry of finite finitistic dimension (2022) | arXiv

[4] Ellen Kirkman; James Kuzmanovich Algebras with large homological dimensions, Proc. Amer. Math. Soc., Volume 109 (1990) no. 4, pp. 903-906 | DOI | MR | Zbl

[5] Henning Krause Homological theory of representations, Cambridge Studies in Advanced Mathematics, 195, Cambridge University Press, 2022 | Zbl

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