Duality pairs, generalized Gorenstein modules, and Ding injective envelopes (Q2131740)

In the paper under review, the authors introduce the notion of semi-complete duality pairs and develop a theory of relative Gorenstein homological algebra in this context. As a main application, the authors prove that over any ring, the class of Ding injective modules is the right side of a complete (perfect) cotorsion pair. The completeness of the (projectively coresolved) Gorenstein flat cotorsion pair over any ring is recovered, and several abelian model structures are constructed in the paper.