Almost Split Sequences in Dimension One

DOI10.1080/00927870903085211zbMath1267.16013OpenAlexW2169586553MaRDI QIDQ3162819

Wolfgang Rump

Publication date: 22 October 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903085211

zbMATH Keywords

Auslander-Reiten quiversalmost split sequencescategories of latticesCohen-Macaulay ordersrepresentation-finite orderscategories of finite dimensional modules

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Lattices over orders (16H20)

Cites Work

• Classification of the Auslander-Reiten quivers of local Gorenstein orders and a characterization of the simple curve singularities
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Almost split sequences for integral group rings and orders
• On reducible and decomposable representations of orders.
• The construction of almost split sequences for integral group rings and orders
• A survey of integral representation theory

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