4 papers
Weakly Ding injective complexes
James Gillespie, Alina Iacob
Working over a (left) coherent ring, we consider the class of weakly Ding injective complexes. These are the cycles of the exact complexes of FP-injective complexes that stay exact…
Gorenstein flat preenvelopes and weakly Ding injective covers
Alina Iacob
We consider a (left) coherent ring R. We prove that if the character module of every Ding injective (left) R-module is Gorenstein flat, then the class of Gorenstein flat (right) R-…
Homological dimensions of complexes over coherent regular rings
James Gillespie, Alina Iacob
We show that Iacob-Iyengar's answer to a question of Avromov-Foxby extends from Noetherian to coherent rings. In particular, a coherent ring R is regular if and only if the injecti…
The class of Gorenstein injective modules is covering if and only if it is closed under direct limits
Alina Iacob
We prove that the class of Gorenstein injective modules, , is special precovering if and only if it is covering if and only if it is closed under direct limits. This…