A NOTE ON DG-GORENSTEIN INJECTIVE COVERS

A. Iacob

A NOTE ON DG-GORENSTEIN INJECTIVE COVERS

A. Iacob

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	19-25
Number of pages	7
Journal	Acta Mathematica Universitatis Comenianae
Volume	91
Issue number	1
State	Published - Feb 1 2022

Scopus Subject Areas

General Mathematics

Keywords

dg-Gorenstein injective complex
Gorenstein injective module

Cite this

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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.

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KW - Gorenstein injective module

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A NOTE ON DG-GORENSTEIN INJECTIVE COVERS

Abstract

Scopus Subject Areas

Keywords

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