Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components

• Autorzy: Piotr Malicki
• Języki publikacji: EN

Abstrakty

EN

We establish when the partial orders $≤_{ext}$ and $≤_{deg}$ 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.

Kategorie tematyczne

• 14L30: Group actions on varieties or schemes (quotients)
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 16G10: Representations of Artinian rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 2
• Strony: 253-276

Daty

wydano

2009

Twórcy

autor

Piotr Malicki

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm114-2-8