Rings over which all modules are strongly Gorenstein projective

Details Rings over which all modules are strongly Gorenstein projective Rings over which all modules are strongly Gorenstein projective

2007-12-02

arxiv.org/abs/0712.0127v2

Mathematics

Commutative Algebra

Scientific paper

One of the main results of this paper is the characterization 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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