paper

The Gorenstein-projective modules over a monomial algebra

arXiv:1501.02978

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.

17 pages. Comments are welcome

The Gorenstein-projective modules over a monomial algebra · wovepaper