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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.…
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…
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…
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…
Gorenstein Global Dimensions and Cotorsion Dimension of Rings
D. Bennis, N. Mahdou
In this paper, we establish, as a generalization of a result on the classical homological dimensions of commutative rings, an upper bound on the Gorenstein global dimension of comm…