Rings over which all modules are strongly Gorenstein projective

2007/12/02 by D. Bennis, Driss Bennis, Najib Mahdou +6
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AC

paper · pdf · doi:10.48550/arxiv.0712.0127

openalex publication_date 2007/12/02 · arxiv created 2008/04/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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