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Keywords:
(strongly) Gorenstein-projective module; Nakayama algebra; resolution quiver; Gorenstein core
(strongly) Gorenstein-projective module; Nakayama algebra; resolution quiver; Gorenstein core
Summary:
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 $\Lambda $-modules, where $\Lambda $ is a Nakayama algebra.
References:
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