The Auslander-Reiten translation in submodule categories

DOI10.1090/S0002-9947-07-04183-9zbMath1154.16011arXivmath/0504301OpenAlexW2032392016MaRDI QIDQ5429469

Markus Schmidmeier, Claus Michael Ringel

Publication date: 30 November 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504301

zbMATH Keywords

triangulated categoriesapproximationsArtin algebrasAuslander-Reiten translationscategories of finitely generated modulesAuslander-Reiten sequenceshomomorphism categoriesexact Krull-Schmidt categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

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Cites Work

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• Submodule categories of wild representation type.
• Addendum to ``Almost split sequences in subcategories
• Tame Triangular Matrix Algebras Over Nakayama Algebras
• Invariant subspaces of nilpotent linear operators, I

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