When an amalgamated duplication of a ring along an ideal is quasi-Frobenius
In this paper, we characterize an amalgamated duplication of a ring $R$ along a proper ideal $I$, $R\bowtie I$, which is quasi-Frobenius.
math.AC↗
arXiv subjects
Mohamed Tamekkante
Publications and source records attributed to Mohamed Tamekkante.
On $n$-strongly Gorenstein rings
This paper introduces and studies a particular subclasses of the class of commutative rings with finite Gorenstein global (resp., weak) dimensions.
math.AC↗
When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
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 discuss the rings over which every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp, flat). Our aim is to give examples of rings with different Gorenstein global dimension satisfied this condition.
math.AC↗