On the structure of rings which are sums of two subrings.
type: Item
instance of: scholarly article
title: On the structure of rings which are sums of two subrings.
zbMATH Open document ID: 1087.16004
published in: Archiv der Mathematik
publication date: 2005-02-25T00:00:00Z
review text: The paper is addressed to the following problem: Let \(R=R_1+R_2\) be a ring, where \(R_1\) is a nil ring and \(R_2\) is a reduced ring. Whether in this situation \(R_1\) is an ideal? The authors show that it is indeed in some particular cases, e.g., \(R_1\) is locally nilpotent and \(R_2\) has finite Goldie dimension, or \(R_1\) is a prime radical ring and \(R_2\) is a domain.
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D25
Mathematics Subject Classification ID: 16N40
zbMATH DE Number: 2138534
zbMATH Keywords: nil rings
zbMATH Keywords: reduced rings
zbMATH Keywords: prime radical
zbMATH Keywords: sums of two rings
zbMATH Keywords: semidirect sums
author: Marek Kępczyk
author: E. R. Puczyłowski
reviewed by: Leonid A. Bokut'
MaRDI profile type: Publication
full work available at URL: s00013-004-1206-9
OpenAlex ID: W1998637376
DOI: 10.1007/S00013-004-1206-9
description: scientific article; zbMATH DE number 2138534