When Every Gorenstein Projective (Resp. Flat) Module is Strongly Gorenstein Projective (Resp. Flat)

Najib Mahdou, Mohammed Tamekkante

Abstract


In [5], 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.

Keywords


(Strongly) Gorenstein projective and flat modules; Gorenstein global and weak dimensions of rings

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eISSN 0975-8607; pISSN 0976-5905