Remarks on subcategories of Artinian modules

zbMath1293.13004arXiv1110.2277MaRDI QIDQ2441064

Naoya Hiramatsu

Publication date: 21 March 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2277

zbMATH Keywords

Artinian modulesSerre subcategoryattached prime ideals

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Completion of commutative rings (13B35) Complete rings, completion (13J10)

Cites Work

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• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)
• Classifying subcategories of modules
• Classifying subcategories of modules over a commutative noetherian ring
• Artinian modules over commutative rings
• Secondary representations for injective modules over commutative Noetherian rings

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