The Gorenstein projective modules for the Nakayama algebras. I

By Claus Michael Ringel. 2012

62 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c5b82d29ec9ebf89a478ef7138c4a266ffd80212

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Guodong Zhou
2. Dawei Shen
3. Xiao-Wu Chen
4. Apostolos Beligiannis
5. P. Ara
6. Pu Zhang
7. Kulumani M. Rangaswamy

In Geometry and Topology

1. Guodong Zhou
2. Dawei Shen
3. Xiao-Wu Chen
4. Apostolos Beligiannis
5. P. Ara
6. Pu Zhang
7. Kulumani M. Rangaswamy

In Statistical and Nonlinear Physics

1. Guodong Zhou
2. Xiao-Wu Chen
3. Dawei Shen
4. Pu Zhang

Citations in the corpus

• The Gorenstein-projective modules over a monomial algebra (2015, methodology): “The following terminology is taken from [17].”