IG-projective modules |
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Authors: | Luo Rong |
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Institution: | College of Mathematics, Southwest Jiaotong University, Chengdu 610031, PR China |
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Abstract: | This paper concerns finitely generated modules over Artin algebras. We introduce the notion of an IG-projective module and use this to prove that if, over such an algebra R, each simple module is strongly Gorenstein projective, then any indecomposable R-module is either projective or simple. We also prove that if R is local and the simple module is IG-projective, then 1-self-orthogonal modules are projective. |
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Keywords: | 16E30 13D07 16G10 |
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