… Since the A-dual functors induce exact dualities of A − Gproj and A op − Gproj , M • ≃ ( M • ) *
* and H 0 ( M • ) ≃ ( … The k-dual functors D induce exact dualities of B - mod and B op - mod . …

" The study of modules which are invariant under the action of certain subsets of the endomorphism
ring of their injective envelope can be drawn back to the pioneering work of Johnson …

… left R-module N, then A is called an FP-injective module. The … In [120] Zhu XS gave the
following definition of the strongly IBN … Then there exists an equivalence functor F from GellRU to …

… Call a functor from R-Mod to Ab high if it acts as the forgetful functor on all injectives, and
low if it vanishes on all flats. Applied to unary positive primitive (henceforth pp) formulas, we …

… with Gorenstein flat dimension less than $n$, the class of fibrant objects coincides with $\flat_n(R)^\perp$
the right $\Ext$-orthogonal class of left $R$-modules with flat dimension less …

… the way, we give a new description of Gorenstein flat modules which implies that, regardless
of the ring, the class of all Gorenstein flat modules forms the left-hand class of a perfect …

… projective, injective and flat modules and developed … right derived functor of homomorphism
functor of complexes; … Moreover, the class of FP-injective R-modules coincides with …

… /Kb(F∩C) and it follows that F is a triangle functor. (2) F is essentially surjective . Let M be …
We know that any Gorenstein FI-flat module with finite flat dimension is FI-flat. It follows that C(β…

… and Gorenstein derived functors. Holm’s results point out the strong relation between the …
in the next section the corresponding property of “being strongly hereditary” for \({\mathcal {S}}\)-…

… of flat left A-modules and flat left B-modules, respectively, then \(\Omega \) in Theorem 1 is
the class of flat left T-modules by Lemma 3. It is not hard to see that there is a Gorenstein flat …