Comptes Rendus
Algèbre, Théorie des représentations
The size of a stratifying system can be arbitrarily large
Hipolito Treffinger1 
1 Institut de Mathématiques Jussieu - Paris Rive Gauge, Université Paris Cité. Paris, France
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 15-19.

In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consist on stratifying systems of infinite size in the module category of an algebra A. In the second family of examples we show that the size of a finite stratifying system in the module category of a finite dimensional algebra A can be arbitrarily large in comparison to the number of isomorphism classes of simple A-modules. We note that both families of examples are built using well-established results in higher homological algebra.

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DOI : 10.5802/crmath.385
Hipolito Treffinger 1

1 Institut de Mathématiques Jussieu - Paris Rive Gauge, Université Paris Cité. Paris, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Hipolito Treffinger. The size of a stratifying system can be arbitrarily large. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 15-19. doi : 10.5802/crmath.385. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.385/

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