18 citations · 33 across the 7 of their papers we have counts for
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On strong n-perfect rings
A. Jhilal, N. Mahdou
In this paper we introduce the notion of "strong -perfect rings" which is in some way a generalization of the notion of "-perfect rings". We are mainly concerned with those c…
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…
Prüfer-Like Conditions in Subring Retracts and Applications
C. Bakkari, N. Mahdou, H. Mouanis
In this paper, we consider five possible extensions of the Prüfer domain notion to the case of commutative rings with zero divisors. We investigate the transfer of these Prüfer-lik…
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…