On rings whose prime ideals are completely prime
type: Item
instance of: scholarly article
title: On rings whose prime ideals are completely prime
zbMATH Open document ID: 1024.16002
DOI: 10.1016/S0022-4049(01)00148-7
author: Nam Kyun Kim
author: Yang Lee
published in: Journal of Pure and Applied Algebra
publication date: 2002-06-24T00:00:00Z
review text: For a ring \(R\), the prime radical and the set of all nilpotent elements are denoted by \(P(R)\) and \(N(R)\). A proper two-sided ideal \(I\) of a ring \(R\) is called 2-primal if \(P(R/I)=N(R/I)\). A ring \(R\) is called strongly 2-primal if every proper two-sided ideal of \(R\) is 2-primal. Strongly 2-primal rings with several kinds of \(\pi\)-regularities are studied.
reviewed by: Jae Keol Park
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 16N40
Mathematics Subject Classification ID: 16E50
Mathematics Subject Classification ID: 16N60
zbMATH DE Number: 1758362
zbMATH Keywords: prime radical
zbMATH Keywords: nilpotent elements
zbMATH Keywords: \(\pi\)-regularities
zbMATH Keywords: strongly 2-primal rings
MaRDI profile type: Publication
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full work available at URL: s0022-4049(01)00148-7
OpenAlex ID: W2031957228
description: scientific article; zbMATH DE number 1758362