… In their work, they established their theory in the context of … the C-Gorenstein flat dimension
for complexes. We give … complete hereditary cotorsion pair is the flat cotorsion pair (F, C)…

… In other words, a complex of R-modules is acyclic if and only … [51], we consider a flat affine
morphism of ind-schemes л: → X. … of the foundations of the theory of indschemes emphasizing …

… class of left R-modules with flat dimension less than n, and the … GF(R) ∩ C(R) modulo
flat-cotorsion modules and it is compactly … flat cotorsion pair without any assumptions on the ring. …

… copure flat dimension we study n-Gorenstein skew group rings. Finally, in section 8, some
applications to smash products, K-theory and cotorsion … totally acyclic complex of flat-cotorsion …

… is called a cotorsion pair (or a cotorsion theory) provided that … these two complete cotorsion
pairs in the category Ch(Flat(X)… (X)) of F-totally acyclic complexes of very flat quasi-coherent …

… cohomology theory and the comodule-contramodule correspondence. Recently the notion
of contramodules has been applied profitably in commutative algebra and tilting theory. …

… theory to the situation when S contains some zero-divisors. On the other hand, the category
of what Matlis calls “cotorsion R… the conventional resolutions by complexes of flat R-modules. …

… To investigate cohomology theories based on flats, Asadollahi … cotosion pair is the flat
cotorsion pair (F, C). Here C … F-Gorenstein flat if there exists an F-totally acyclic complex as above …

… The study of relative cohomology theory of complexes have … flat (resp., Gorenstein flat)
modules by PGF (resp., GF ). … GP ⊥ ) forms a complete cotorsion pair in C ( R ) . Note that the …

… \Xi }\) of flat cotorsion quasi-coherent sheaves on a semi-separated Noetherian scheme X,
the quasi-coherent sheaf \(\prod _{\xi \in \Xi }{\mathcal P}_\xi \) on X is flat cotorsion. (Here the …