18 citations · 52 across the 41 of their papers we have counts for
7 papers · 2 filters
A generalization of strongly Gorenstein projective modules
Driss Bennis, Najib Mahdou
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437--445. Namely, we define and study a particular case of Gorenstein projective modules. We inves…
First, second, and third change of rings theorems for the Gorenstein homological dimensions
Driss Bennis, Najib Mahdou
Motivated by their impact on homological algebra, the change of rings results have been the subject of several interesting works in Gorenstein homological algebra over Noetherian r…
A Note on Gorenstein Flat Dimension
D. Bennis
Unlike the Gorenstein projective and injective dimensions, the majority of results on the Gorenstein flat dimension have been established only over Noetherian (or coherent) rings.…
Rings over which the class of Gorenstein flat modules is closed under extensions
D. Bennis
A ring is called left GF-closed, if the class of all Gorenstein flat left -modules is closed under extensions. The class of left GF-closed rings includes strictly the one of…
Global Gorenstein dimensions of polynomial rings and of direct product of rings
D. Bennis, N. Mahdou
In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein homological dimensions of rings. Also, we study the Gorenstein homological dimensions of direct p…
Global Gorenstein dimensions of polynomial rings and of direct products of rings
Driss Bennis, Najib Mahdou
In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein homological dimensions of rings. Also, we study the Gorenstein homological dimensions of direct p…