Degenerations in the module varieties of almost cyclic coherent Auslander–Reiten components
Volume 114 / 2009
Colloquium Mathematicum 114 (2009), 253-276
MSC: 14L30, 16G10, 16G70.
DOI: 10.4064/cm114-2-8
Abstract
We establish when the partial orders $\leq_{\rm ext}$ and $\leq_{\rm deg }$ coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander–Reiten quiver of a finite-dimensional algebra.
