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The Gorenstein-projective modules over a monomial algebra

  • Xiao-Wu Chen (a1), Dawei Shen (a2) and Guodong Zhou (a2)

Abstract

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.

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Present address: School of Mathematics and Statistics, Henan University, Kaifeng, Henan Province 475004, People's Republic of China (sdw12345@mail.ustc.edu.cn).

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* Present address: School of Mathematics and Statistics, Henan University, Kaifeng, Henan Province 475004, People's Republic of China ().

Keywords

MSC classification

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