Restricted projective and flat dimension classes are finitely deconstructible and satisfy Govorov-Lazard, respectively, over Cohen-Macaulay rings with pointwise dualizing modules and over almost Cohen-Macaulay rings.
Direct limits of modules of finite projective dimension.Rings, Modules, Algebras, and Abelian Groups, LNPAM, 236:27–44, 2004
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Govorov--Lazard and finite deconstructibility for Gorenstein and restricted homological dimensions
Restricted projective and flat dimension classes are finitely deconstructible and satisfy Govorov-Lazard, respectively, over Cohen-Macaulay rings with pointwise dualizing modules and over almost Cohen-Macaulay rings.