IG-projective modules

Autores: Luo Rong
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 2, 2014, págs. 252-255
Idioma: inglés
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Resumen
- 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.