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

Authors

  • Najib Mahdou Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez
  • Mohammed Tamekkante Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez

DOI:

https://doi.org/10.26713/cma.v1i1.107

Keywords:

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

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.
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Issue

Vol. 1 No. 1 (2010)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Mahdou, N., & Tamekkante, M. (2010). When Every Gorenstein Projective (Resp. Flat) Module is Strongly Gorenstein Projective (Resp. Flat). Communications in Mathematics and Applications, 1(1), 15-25. https://doi.org/10.26713/cma.v1i1.107