TY - JOUR
T1 - A NOTE ON DG-GORENSTEIN INJECTIVE COVERS
AU - Iacob, A.
N1 - Publisher Copyright:
© 2022, Comenius University in Bratislava. All rights reserved.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - 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.
AB - 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.
KW - dg-Gorenstein injective complex
KW - Gorenstein injective module
UR - http://www.scopus.com/inward/record.url?scp=85123918304&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85123918304
SN - 0862-9544
VL - 91
SP - 19
EP - 25
JO - Acta Mathematica Universitatis Comenianae
JF - Acta Mathematica Universitatis Comenianae
IS - 1
ER -