The Gorenstein-projective modules over a monomial algebra

By Xiao-Wu Chen, Dawei Shen, Guodong Zhou. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015

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

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

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