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<p>We study finitely generated strongly Gorenstein-projective modules over artin algebras and show that each finitely generated strongly Gorenstein-projective module is a direct sum of some indecomposable periodic Gorenstein-projective modules and projective modules. Furthermore, we outline the structure of the category of the finitely generated strongly Gorenstein-projective Λ-modules, where Λ is a Nakayama algebra.</p>

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Strongly Gorenstein-projective modules over Nakayama algebras

  • 期刊论文

  • 发表日期：

    2025年4月30日

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  • Xiu-Hua Luo,
  • Kui Liu,
  • Shijie Zhu

摘要

We study finitely generated strongly Gorenstein-projective modules over artin algebras and show that each finitely generated strongly Gorenstein-projective module is a direct sum of some indecomposable periodic Gorenstein-projective modules and projective modules. Furthermore, we outline the structure of the category of the finitely generated strongly Gorenstein-projective Λ-modules, where Λ is a Nakayama algebra.