When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)

Details When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat) When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)

2009-09-12

arxiv.org/abs/0909.2384v1

Mathematics

Commutative Algebra

Scientific paper

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.

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