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arXiv · 1207.4856

The Gorenstein projective modules for the Nakayama algebras. I

Claus Michael Ringel
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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.

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Claus Michael Ringel. 2012-07-20. The Gorenstein projective modules for the Nakayama algebras. I. https://arxiv.org/abs/1207.4856

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