The Gorenstein projective modules for the Nakayama algebras. I
Representation Theory
2013-04-16 v2 Rings and Algebras
Abstract
The aim of this note is to outline the structure of the category of the Gorenstein projective modules for a Nakayama algebra. We are going to introduce the resolution quiver of such an algebra. It provides a fast algorithm in order to obtain the Gorenstein projective modules and to decide whether the algebra is a Gorenstein algebra or not, and whether it is CM-free or not.
Keywords
Cite
@article{arxiv.1207.4856,
title = {The Gorenstein projective modules for the Nakayama algebras. I},
author = {Claus Michael Ringel},
journal= {arXiv preprint arXiv:1207.4856},
year = {2013}
}