Self-injective artin algebras without short cycles in the component quiver

2012/12/12 by Maciej Karpicz, Karpicz, Maciej
Mathematics · #16D50 #16G10 #16G70 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16D50 #msc:16G10 #msc:16G70

paper · pdf · doi:10.48550/arxiv.1212.2988

26 pages. arXiv admin note: text overlap with arXiv:1112.0852 by other authors without attribution

arxiv created 2012/12/12 · arxiv updated 2012/12/14

Abstract

We give a complete description of all self-injective artin algebras of infinite representation type whose component quiver has no short cycles.

Citations

• On Auslander-Reiten components of algebras without external short paths

Related

• Artin Algebras with Loops but no Outer Derivations
• Selfinjective algebras without short cycles of indecomposable modules
• Returning Arrows for Self-injective Algebras and Artin-Schelter Regular Algebras
• On the representation dimension of artin algebras
• Cycle-finite modules over artin algebras