When is a subcategory Serre or torsion-free?

DOI10.4171/prims/60-4-7MaRDI QIDQ6652955

Kaori Shimada, Kei-ichiro Iima, Hiroki Matsui, Ryo Takahashi

Publication date: 13 December 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

Serre subcategorynumerical semigroup ringtorsion-free subcategoryIKE-closed subcategory

Mathematics Subject Classification ID

Module categories and commutative rings (13C60)

Cites Work

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• Classifying subcategories of finitely generated modules over a Noetherian ring
• On a conjecture of Auslander and Reiten
• On the Hilbert function of certain rings of monomial curves
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules
• Classifying subcategories of modules over a commutative noetherian ring
• Des catégories abéliennes
• Stable module theory
• From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories

Related Items (1)

Classifying torsionfree classes of the category of coherent sheaves and their Serre subcategories

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