A functorial approach to modules of G-dimension zero

Abstract

Let R be a commutative Noetherian ring and let script G sign be the category of modules of G-dimension zero over R. We denote the associated stable category by script G sign. We show that the functor category mod script G sign is a Frobenius category and use this property to characterize script G sign as a subcategory of mod R. © 2005 University of Illinois.