Zwara, Grzegorz Degenerations for modules over representation-finite selfinjective algebras. (English) Zbl 1054.16502 Colloq. Math. 75, No. 1, 91-95 (1998). From the text: This is a continuation of the author’s earlier paper [J. Algebra 198, No. 2, 563–581 (1997; Zbl 0902.16015)]. Here the author investigates representation-finite self-injective algebras. The main result shows that for these algebras the partial orders \(\leq_{\text{ext}}\) and \(\leq_{\text{eg}}\) are different if and only if the stable Auslander-Reiten quiver \(\Gamma^s(A)\) of \(A\) is of the form \(\mathbb{Z} D_{3m}/(\tau^{2m-1})\) for some \(m\geq 2\). Cited in 1 ReviewCited in 1 Document MSC: 16G70 Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers 16G60 Representation type (finite, tame, wild, etc.) of associative algebras 16G20 Representations of quivers and partially ordered sets Keywords:representation-finite self-injective algebras; stable Auslander-Reiten quivers Citations:Zbl 0902.16015 PDFBibTeX XMLCite \textit{G. Zwara}, Colloq. Math. 75, No. 1, 91--95 (1998; Zbl 1054.16502) Full Text: DOI EuDML