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RINGS OVER WHICH ALL MODULES ARE STRONGLY GORENSTEIN PROJECTIVE
Journal article   Open access  Peer reviewed

RINGS OVER WHICH ALL MODULES ARE STRONGLY GORENSTEIN PROJECTIVE

Driss Bennis, Najib Mahdou and Khalid Ouarghi
The Rocky Mountain journal of mathematics, Vol.40(3), pp.749-759
01/01/2010
DOI: https://doi.org/10.1216/RMJ-2010-40-3-749

Abstract

Mathematics Physical Sciences Science & Technology
One of the main results of this paper is the characterisation of the rings over which all modules are strongly Gorenstein projective. We show that these kinds of rings are very particular cases of the well known quasi-Frobenius rings. We give examples of rings over which all modules are Gorenstein projective but not necessarily strongly Gorenstein projective.
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https://doi.org/10.1216/RMJ-2010-40-3-749View
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