Generalized canonical algebras and standard stable tubes
Volume 90 / 2001
Colloquium Mathematicum 90 (2001), 77-93
MSC: 16G10, 16G70, 18G05.
DOI: 10.4064/cm90-1-7
Abstract
We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander–Reiten quivers admit faithful standard stable tubes.