Left sections and the left part of an artin algebra
Volume 116 / 2009
Colloquium Mathematicum 116 (2009), 273-300
MSC: 16G70, 16G20, 16E10.
DOI: 10.4064/cm116-2-10
Abstract
We define a notion of left section in an Auslander–Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu–Skowroński criterion for tilted algebras, then apply our results to describe the Auslander–Reiten components lying in the left part of an artin algebra.
