LATTICE STRUCTURE OF TORSION CLASSES FOR HEREDITARY ARTIN ALGEBRAS

DOI10.1017/nmj.2017.12zbMath1425.16010arXiv1402.1260OpenAlexW2962847235MaRDI QIDQ3119522

Claus Michael Ringel

Publication date: 12 March 2019

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1260

zbMATH Keywords

latticetorsion classfunctorially finite subcategoryrepresentation-finite algebrahereditary Artin algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (3)

The Catalan combinatorics of the hereditary artin algebras ⋮ An introduction to the lattice of torsion classes ⋮ DISTRIBUTIVE LATTICES OF TILTING MODULES AND SUPPORT τ-TILTING MODULES OVER PATH ALGEBRAS

Cites Work

• Preprojective modules over Artin algebras
• Representations of K-species and bimodules
• The Catalan combinatorics of the hereditary artin algebras
• Indecomposable representations of graphs and algebras
• Lattice structure of torsion classes for path algebras
• THE INGALLS-THOMAS BIJECTIONS
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