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math.AC2009
When an amalgamated duplication of a ring along an ideal is quasi-Frobenius
Najib Mahdou, Mohamed Tamekkante
In this paper, we characterize an amalgamated duplication of a ring along a proper ideal , , which is quasi-Frobenius.
math.AC2009
On -strongly Gorenstein rings
Najib Mahdou, Mohamed Tamekkante
This paper introduces and studies a particular subclasses of the class of commutative rings with finite Gorenstein global (resp., weak) dimensions.
math.AC2009
When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
Najib Mahdou, Mohamed Tamekkante
In \cite{Ouarghi}, the authors discuss the rings over which all modules are strongly Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we…