A+ CATEGORY SCIENTIFIC UNIT

Left sections and the left part of an artin algebra

Volume 116 / 2009

Ibrahim Assem 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.

Authors

  • Ibrahim AssemDépartement de mathématiques
    Faculté des sciences
    Université de Sherbrooke
    Sherbrooke, Québec, J1K 2R1, Canada
    e-mail

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