2013/08/28 by Kamal Bahmanpour, Bahmanpour, Kamal, Reza Naghipour +1
Mathematics · #13H10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1308.6044
openalex publication_date 2013/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this article is to provide a new characterization of Cohen-Macaulay local rings. As a consequence we deduce that a local (Noetherian) ring R is Gorenstein if and only if every parameter ideal of R is irreducible.