AB-Contexts and Stability for Gorenstein Flat Modules with Respect to Semidualizing Modules

作者：Sather Wagstaff Sean^*; Sharif Tirdad; White Diana

来源：Algebras and Representation Theory, 2011, 14(3): 403-428.

DOI：10.1007/s10468-009-9195-9

• AB-contexts
• Auslander-Buchweitz approximations
• Auslander classes
• Bass classes
• Cotorsion
• Gorenstein flats
• Gorenstein injectives
• Semidualizing

We investigate the properties of categories of G (C) -flat R-modules where C is a semidualizing module over a commutative noetherian ring R. We prove that the category of all G (C) -flat R-modules is part of a weak AB-context, in the terminology of Hashimoto. In particular, this allows us to deduce the existence of certain Auslander-Buchweitz approximations for R-modules of finite G (C) -flat dimension.

• 出版日期2011-6