Auslander-Reiten sequences over Artinian rings

DOI10.1016/0021-8693(88)90066-XzbMath0661.16024MaRDI QIDQ1112931

Wolfgang Zimmermann

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

regular modulesabelian categoryAuslander-Reiten sequencesformal Laurent serieslocal endomorphism ringbimodule algebraindecomposable finitely presented modules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Related Items

Unnamed Item, A family of noetherian rings with their finite length modules under control, Copure semisimple categories and almost split maps., Auslander-Reiten sequences over derivation polynomial rings, Preinjective modules over pure semisimple rings., Lattice-finite rings., The Auslander and Ringel–Tachikawa Theorem for Submodule Embeddings, Some model theory over hereditary Noetherian domains

Cites Work

• Unnamed Item
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• Existenz von Auslander-Reiten-Folgen
• Representations of K-species and bimodules
• Modules over Dedekind prime rings
• Homomorphisms and extensions of modules over certain differential polynomial rings
• On a theorem of kulikov for artinian rings
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms