<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Galois covering and smash product of skew categories

Acta Universitatis Sapientiae, Mathematica

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.

{"article-title":"Galois covering and smash product of skew categories"}

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...

Galois covering and smash product of skew categories

Data publikacji: 06 cze 2014

Zakres stron: 47 - 53

Otrzymano: 10 lip 2013

DOI: https://doi.org/10.2478/ausm-2014-0004

Słowa kluczowe
smash product, Galois covering, skew group algebras

© 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.

Galois covering and smash product of skew categories

Data publikacji: 06 cze 2014

Zakres stron: 47 - 53

Otrzymano: 10 lip 2013

DOI: https://doi.org/10.2478/ausm-2014-0004

Słowa kluczowesmash product, Galois covering, skew group algebras

© 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.

Słowa kluczowe
smash product, Galois covering, skew group algebras