English

The Gorenstein-projective modules over a monomial algebra

Representation Theory 2015-01-14 v1 Rings and Algebras

Abstract

We classify indecomposable non-projective Gorenstein-projective modules over a monomial algebra via the notion of perfect paths. We apply this classification to a quadratic monomial algebra and describe explicitly the stable category of its Gorenstein-projective modules.

Keywords

Cite

@article{arxiv.1501.02978,
  title  = {The Gorenstein-projective modules over a monomial algebra},
  author = {Xiao-Wu Chen and Dawei Shen and Guodong Zhou},
  journal= {arXiv preprint arXiv:1501.02978},
  year   = {2015}
}

Comments

17 pages. Comments are welcome

R2 v1 2026-06-22T07:59:38.972Z