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IG-projective modules
Authors:Luo Rong
Institution:College of Mathematics, Southwest Jiaotong University, Chengdu 610031, PR China
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 RR, each simple module is strongly Gorenstein projective, then any indecomposable RR-module is either projective or simple. We also prove that if RR is local and the simple module is IG-projective, then 1-self-orthogonal modules are projective.
Keywords:16E30  13D07  16G10
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