Primary orders of finite representation type

DOI10.1006/jabr.1996.6946zbMath0877.16007OpenAlexW1971591557MaRDI QIDQ1360883

Kenji Nishida, Hiroaki Hijikata

Publication date: 27 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6946

zbMATH Keywords

Auslander-Reiten quiversmaximal ordersAuslander-Reiten sequencessemisimple algebrasrepresentation-finite local orders

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Classifications of exact structures and Cohen-Macaulay-finite algebras, Low dimensional orders of finite representation type, 0-Calabi-Yau configurations and finite Auslander-Reiten quivers of Gorenstein orders, Rejection lemma and almost split sequences, Rational curves and ruled orders on surfaces

Cites Work

• Auslander-Reiten species of Bäckström orders
• On local orders
• Classification of the Auslander-Reiten quivers of local Gorenstein orders and a characterization of the simple curve singularities
• Auslander-Reiten quivers of local orders of finite lattice type
• Diagrammatic methods in the representation theory of orders
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Integral representations and diagrams
• Bass orders in non semisimple algebras
• Sur les ordres commutatifs avec un nombre fini de réseaux indecomposables
• Lattices over orders. II
• The Auslander-Reiten Quiver of a Simple Curve Singularity
• Classification of Bass orders.
• PRIMARY ORDERS WITH A FINITE NUMBER OF INDECOMPOSABLE REPRESENTATIONS
• The construction of almost split sequences for integral group rings and orders
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• COMMUTATIVE RINGS WITH A FINITE NUMBER OF INDECOMPOSABLE INTEGRAL REPRESENTATIONS
• ON HEREDITARY AND BASS ORDERS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item