… (respectively, injective, respectively, flat) modules. We prove a … R-modules: a complex X is
Ding projective (respectively, Ding … Ding injective modules and chain complexes over Ding-…

… is exact and ker(β) is a Ding injective left R-module. As an application, we characterize
Ding injective modules over Morita context rings with zero bimodule homomorphisms. …

… The present paper is devoted to Ding projective and Ding injective modules and dimensions
over formal triangular matrix rings. In Section 3, let UA and BU have finite flat dimensions, …

… But what is new is that we get completeness of the Ding injective cotorsion pair this way,
again … all injective modules we conclude W ⋂GIB is exactly the class of all injective modules. …

… R, a complex is Ding injective if and only if it is a complex of Ding injective modules. We use
this … The definition uses FP-injective modules, so we recall first that a module A is called FP-…

… right Noetherian ring with finite injective dimension as either left or right module over itself ),
… WR is the category of left R-modules with finite projective (injective) dimension. Hence M = (…

… recollements induced by the monomorphism category of Gorenstein projective modules (resp.,
Ding projective modules… projective-injective objects V in B , then there is a recollement of …

… Gillespie described a general correspondence between projective (injective) recollements …
of all Ding projective modules and the class of all Gorenstein projective modules respectively. …

… modules and Gorenstein projective complexes, the class of Ding projective modules and …
⊗S D(SS) is a finitely generated injective left R-module, where D is the duality for Artin algebras…

… As an important application, we study the global dimensions related to Ding projective
and injective modules. We prove the existence of l.GgldimF,FI(R) for certain ring R (Proposition …