Artículos de revistas
The representation dimension of a Selfinjective Algebra of wild tilted type
Fecha
2017-05Registro en:
Assem, Ibrahim; Skowronski, Andrzej; Trepode, Sonia Elisabet; The representation dimension of a Selfinjective Algebra of wild tilted type; Academic Press Inc Elsevier Science; Journal of Algebra; 477; 5-2017; 163-194
0021-8693
CONICET Digital
CONICET
Autor
Assem, Ibrahim
Skowronski, Andrzej
Trepode, Sonia Elisabet
Resumen
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjectivealgebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.