… model structure and an injective model structure. Their homotopy categories are what we
call the stable module … model structure called the flat model structure, as was shown in [GH09]. …

… structure described before. Moreover, we also … R-modules, study other model structures on
complexes constructed from relative Gorenstein flat modules, and compare these models via …

… Lastly, in section 5 we will see that we can compute Extn(M,N) for R-modules M and N in
terms of a flat resolution of M and a cotorsion coresolution of N. Again we hope this method can …

… Let Ch(O) be the category of chain complexes of O-modules on a topological space T (…
Quillen model structure on this category in which the cofibrant objects are built out of flat modules. …

… flat model structure on the category Mod(R) of left Rmodules … the same Gorenstein flat model
structure obtained by Gillespie for … to get new models for Gorenstein flat modules relative to …

… in the case of flat modules. This enables me to give, besides partial results for arbitrary flat
modules (§2), a complete description of the stability classes for modules over regular rings (§3…

… relative Gorenstein cotorsion and cotorsion modules: GC-cotorsion and (… model structure
on the category of left R-modules, in which the cofibrations are the monomorphisms with GC-flat …

… a model structure such that the … modules having Gorenstein flat dimension less than an
integer n ≥ 0. First, we show that there is a trivial model structure (in the sense that every module …

… We show that there is an abelian model structure on R-Mod whose … flat modules. Employing
a new method for constructing model structures, the key step is to show that a module is flat …

… But try showing that a flat resolution of a module M is unique up to homotopy equivalence
(… flat modules unless the flat resolutions have this property. One thing the flat model structure …