Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

It was recently proved [17] that the class of Gorenstein injective left R-modules is both covering and enveloping over a two-sided noetherian ring R with the property that the character modules of the Gorenstein injective left R-modules are Gorenstein flat. It was also proved that over the same type of rings, the class of Gorenstein flat right R-modules is preenveloping [16]. We prove here that if R is a two-sided noetherian ring R such that R if satisfies the Auslander condition and has finite finitistic left injective dimension, then R has the desired property; the character module of any Gorenstein injective is Gorenstein flat.

Original languageAmerican English
JournalActa Mathematica Universitatis Comenianae
Volume85
StatePublished - Jan 21 2016

Disciplines

  • Education
  • Mathematics

Keywords

  • Auslander condition
  • Gorenstein
  • Gornstein injective
  • Rorenstein injective left R-modules

Fingerprint

Dive into the research topics of 'Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition'. Together they form a unique fingerprint.

Cite this