… In this section we study flat, projective, and injective modules with respect to a … of Foxby
equivalence. In the commutative noetherian setting, the following classes of modules already …

… modules in the Auslander and Bass classes in terms of C-injective, C-projective and C-flat
modules and showed Foxby equivalence … AC(R) contains all flat left R-modules and the Bass …

… equivalence si ^ SB we note that SF c si and cê <z SB where & and are respectively the class
of flat and of injective modules… Recently it has also been shown that every module has a flat …

… M consists of flat modules such that … considered as complexes concentrated in degree
X is equivalent to a non-zero module if and only We say that … X is equivalent to A complex …

… We also study the class of GC-flat modules and the Bass class … the class of GC-cotorsion
modules and the Auslander class. … of the Gorenstein flat model structure is triangle equivalent to …

… It is enough to prove that any *flat *module is flat. Suppose M is a *flat ""module. A careful
revision of the proof of Théorème 2 in Lazard [8] shows that the *flat ""module M is the direct …

… We study the relations between the classes of n-C-copure flat modules and n-C-copure
injective (projective) modules. From these, we prove the class of n-C-copure flat modules is …

… modules in the other class defined by Foxby. The basic result of this paper is that the two
classes involved in Foxby’s duality coincide with the classes of those modules … flat modules is …

… The complex U is equivalent to a non-zero module M if and only O … Flat base change In
this section B is a flat A-algebra. Furthermore, A is supposed to be local, and the fibre ring C= B/…

… modules under change of rings. Secondly, we establish a new version of the Foxby equivalence
with respect to DC -projective modules … an R-module Q a DC-flat module if there exists a …