À propos de cet article
Publié en ligne: 06 juin 2014
Pages: 47 - 53
Reçu: 10 juil. 2013
DOI: https://doi.org/10.2478/ausm-2014-0004
Mots clés
© 2014
This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper we give a new proof of the famous result of E. L. Green [3], that gradings of a finite, path connected quiver are in one-to-one correspondence with Galois coverings. Namely we prove that the inverse construction to the skew group construction has as many solutions as the number of different gradings on the starting quiver.