18 citations · 33 across the 7 of their papers we have counts for
7 papers
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…
On n-Perfect Rings and Cotorsion Dimension
D. Bennis, N. Mahdou
A ring is called -perfect (), if every flat module has projective dimension less or equal than . In this paper, we show that the -perfectness relate, via homologi…
Rings over which all modules are strongly Gorenstein projective
D. Bennis, N. Mahdou, K. Ouarghi
One of the main results of this paper is the characterization of the rings over which all modules are strongly Gorenstein projective. We show that these kinds of rings are very par…