… They further imply a sufficient condition for that the functor … not need the notion of strongly
Gorenstein projective R-modules … We use FI to denote the class of all FP-injective R-modules, …

… [20] in the study of Strong Mori domains, and was extended to … pure module is precisely
an FP-injective module in [15]. … introduce the notions of (strongly) w-FI-flat and (strongly) w-FI…

… it is strongly cotorsion, and a right \(R\)-module is Gorenstein flat if and only if it is strongly
torsion… Dually, an \(R\)-module \(N\) is said to be Ding injective (Gorenstein FP-injective) if there …

… notion of flat module is that of absolutely pure (=FP-injective) … flat module is a direct summand
of a strongly Gorenstein flat … consisting of flat right A-modules where A is the functor ring of …

… dimension at most 1 can be embedded into a flat functor, and so I ′ is flat. Hence, I … [13] LX
Mao, On strongly flat and Ω-Mittag-Leffler objects in the category ((R-mod)op, Ab), Mediterr. J. …

… (L, A)-Gorenstein ring the functor − ⊗R − is left balanced over the … of all FP-injective R-modules,
and by F(R) the class of all flat R-… 1, Proposition 6] we have that the pair of (strongly) w-FI- …

… initially introduced as Gorenstein FP-injective modules in [18]… ; we can compute right derived
functors \(\mathrm{Ext}^i(X,Y)\… whenever J is an FP-injective (resp., a flat) chain complex. It …

… , flat and FP-injective) … strongly CM-free if \(_R\mathcal{G}\mathcal{P}=~_R\mathcal {P}\).
As the second application of Theorem 3.5, we will characterize the strongly CM-freeness of flat-…

… The functor RG ⊗RH − preserves flat modules and since RG is … [12] as n-flat (or n-FP-injective,
respectively) modules with the … Following [20], we will say that M is strongly copure flat if …

… T is a geometric functor, that is, a strong monoidal coproduct … As the proof relies heavily on
the tools of finitely accessible … Φ∗ preserves direct limits and fp-injective objects. As dA : A → …