On minimal non-tilted algebras
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 71-84
MSC: 16G70, 16G20, 16E10.
DOI: 10.4064/cm111-1-7
Abstract
A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.
