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Let R be a commutative Noetherian Henselian local ring. Denote by modR the category of finitely generated R-modules, and by G the full subcategory of modR consisting of all G-projective R-modules. In this paper, we consider when a given R-module has a right G-approximation. For this, we study the full subcategory rapG of modR consisting of all R-modules that admit right G-approximations. We investigate...
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