Galois coverings and splitting properties of the ideal generated by halflines

• Autorzy: Piotr Dowbor
• Języki publikacji: EN

Abstrakty

EN

Given a locally bounded k-category R and a group $G ⊆ Aut_{k}(R)$ acting freely on R we study the properties of the ideal generated by a class of indecomposable locally finite-dimensional modules called halflines (Theorem 3.3). They are applied to prove that under certain circumstances the Galois covering reduction to stabilizers, for the Galois covering F: R → R/G, is strictly full (Theorems 1.5 and 4.2).

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 101
• Numer: 2
• Strony: 237-257

Daty

wydano

2004

Twórcy

autor

Piotr Dowbor

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

Identyfikatory

DOI

10.4064/cm101-2-7