Another characterization of tilted algebras

作者：Liu Shiping^*

来源：ARCHIV DER MATHEMATIK, 2015, 104(2): 111-123.

DOI：10.1007/s00013-015-0725-x

• Artin algebras
• Irreducible maps
• Almost split sequences
• Auslander-Reiten quiver
• Tilting modules
• Tilted algebras
• Slices
• Sections
• Cuts

We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander-Reiten quiver. This result includes the existent characterizations of this kind and yields a way to obtain more tilted quotient algebras from a given algebra.

• 出版日期2015-2