Geodesic
A note on dg-Gorenstein injective covers
Alina Iacob1 ; Alina Iacob
1Department of Mathematical Sciences, Georgia Southern University, Statesboro (GA), USA
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 19-25 
Alina Iacob; Alina Iacob. A note on dg-Gorenstein injective covers. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 19-25. http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a1/
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     author = {Alina Iacob and Alina Iacob},
     title = { A note on {dg-Gorenstein} injective covers},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {19--25},
     year = {2022},
     volume = {91},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

We consider a ring R such that the class of Gorenstein injective modules is closed under direct limits. We prove that the class of dg-Gorenstein injective complexes is covering in Ch(R) if and only if every complex of Gorenstein injective modules is dg-Gorenstein injective. In particular, when R is commutative noetherian with a dualizing complex, we obtain the following result: the class of dg-Gorenstein injective complexes is covering if and only if R is Gorenstein.