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On finitely generated n-SG-projective modules

Driss Bennis — 2010

Colloquium Mathematicae

We prove that finitely generated n-SG-projective modules are infinitely presented.

A short survey on Gorenstein global dimension

Driss Bennis — 2010

Actes des rencontres du CIRM

This text gives a short overview of the recent works on Gorenstein global dimension of rings.

$n$ - $gr$ -coherent rings and Gorenstein graded modules

Mostafa Amini; Driss Bennis; Soumia Mamdouhi — 2022

Czechoslovak Mathematical Journal

Let $R$ be a graded ring and $n \geq 1$ be an integer. We introduce and study the notions of Gorenstein $n$ -FP-gr-injective and Gorenstein $n$ -gr-flat modules by using the notion of special finitely presented graded modules. On $n$ -gr-coherent rings, we investigate the relationships between Gorenstein $n$ -FP-gr-injective and Gorenstein $n$ -gr-flat modules. Among other results, we prove that any graded module in $R$ -gr (or gr- $R$ ) admits a Gorenstein $n$ -FP-gr-injective (or Gorenstein $n$ -gr-flat) cover and preenvelope, respectively....

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Currently displaying 1 – 3 of 3

On finitely generated n-SG-projective modules

A short survey on Gorenstein global dimension

n - gr -coherent rings and Gorenstein graded modules

$n$ - $gr$ -coherent rings and Gorenstein graded modules