On the existence of certain modules of finite Gorenstein homological dimensions

2012/11/22 by Kamran Divaani-Aazar, Divaani-Aazar, Kamran, Fatemeh Mohammadi Aghjeh Mashhad +3
Mathematics · #13C14 #13D05 #13D45 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1211.5268

openalex publication_date 2012/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let (R,m) be a commutative Noetherian local ring. It is known that R is Cohen-Macaulay if there exists either a nonzero finitely generated R-module of finite injective dimension or a nonzero Cohen-Macaulay R-module of finite projective dimension. In this paper, we investigate the Gorenstein analogues of these facts.

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