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Ding injective envelopes in the category of complexes
James Gillespie, Alina Iacob
A complex is called Ding injective if there exists an exact sequence of injective complexes such…
-injective and -flat covers and preenvelopes, and Gorenstein AC-flat covers
Daniel Bravo, Sergio Estrada, Alina Iacob
We prove that, for any , the classes of -injective modules and of -flat modules are both covering and preenveloping over any ring . This includ…
Totally acyclic complexes
Sergio Estrada, Xianhui Fu, Alina Iacob
For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of exact complexes having all cycles in $\A$, and by $dw(\A)$ the class of complexes with all com…
Gorenstein injective precovers, covers, and envelopes
Edgar Enochs, Sergio Estrada, Alina Iacob
We give a sufficient condition for the class of Gorenstein injective modules be precovering: if is right noetherian and if the class of Gorenstein injective modules, $\mathcal{…
Homological dimensions and regular rings
Alina Iacob, Srikanth B. Iyengar
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast th…