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…
Accessibility and Gorenstein injective envelopes
Sergio Estrada, James Gillespie
Let be a Grothendieck category. We prove completeness of the Gorenstein injective cotorsion pair whenever admits a set of Tate trivial generators, and s…
Acyclic complexes of FP-injective modules over Ding-Chen rings
James Gillespie
We present a new method for combining two cotorsion pairs to obtain an abelian model structure and we apply it to construct and study a new model structure on left -modules over…
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…