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perfect path

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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The Gorenstein-projective modules over a monomial algebra
Part of
Xiao-Wu Chen, Dawei Shen, Guodong Zhou
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 148 / Issue 6 / December 2018

Published online by Cambridge University Press:

02 October 2018, pp. 1115-1134

Print publication:

December 2018
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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.