Rings over which all (finitely generated) strongly Gorenstein projective modules are projective

2009/02/12 by Najib Mahdou, Mahdou, Najib, Khalid Ouarghi +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.0902.2237

openalex publication_date 2009/02/12 · arxiv created 2010/03/10 · arxiv updated 2010/03/12 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

The main aim of this paper is to investigate rings over which all (finitely generated strongly) Gorenstein projective modules are projective. We consider this propriety under change of rings, and give various examples of rings with and without this propriety.

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