Categories of lattices, and their global structure in terms of almost split sequences

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Rump, W.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155952
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Categories of lattices, and their global structure in terms of almost split sequences / W. Rump // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 87–111. — Бібліогр.: 30 назв. — англ.

A major part of Iyama’s characterization of
 Auslander-Reiten quivers of representation-finite orders Λ consists
 of an induction via rejective subcategories of Λ-lattices, which
 amounts to a resolution of Λ as an isolated singularity. Despite
 of its useful applicat...