On \(\phi\)-\((n,d)\) rings and \(\phi\)-\(n\)-coherent rings
type: Item
instance of: scholarly article
title: On \(\phi\)-\((n,d)\) rings and \(\phi\)-\(n\)-coherent rings
author: Younes El Haddaoui
author: Hwankoo Kim
author: Najib Mahdou
published in: Communications of the Korean Mathematical Society
publication date: 2024-10-10T00:00:00Z
review text: Let \(n,d\geq 0.\) The authors introduce and study the class of \(\phi-(n,d)\) rings. It is shown that the \(\phi-(0,0)\)- rings are exactly the \(\phi\)-von Neumann regular rings, the \(\phi-(0,1)\)-rings are exactly the hereditary rings and that the \(\phi-(1,1)\)-rings are exactly the \(\phi\)-Prüfer rings with \(Z(R)=\mathrm{Nil}(R).\) It is also shown that the \(\phi-(n,d)\)-rings are \(\phi-n\)-coherent. They also introduce and study the class of \(\phi-n\)-coherent rings.
reviewed by: Cristodor-Paul Ionescu
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13C99
zbMATH DE Number: 7924506
zbMATH Keywords: \( \phi \)-Noetherian ring
zbMATH Keywords: \( \phi \)-\((n, d)\)-injective modules
zbMATH Keywords: \( \phi \)-\((n, d)\)-flat modules
zbMATH Keywords: \( \phi \)-\((n, d)\)-ring
MaRDI profile type: Publication
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DOI: 10.4134/CKMS.C230303
description: scientific article; zbMATH DE number 7924506