Generalized Rickart \(\ast \)-rings
type: Item
instance of: scholarly article
title: Generalized Rickart \(\ast \)-rings
zbMATH Open document ID: 1485.16037
DOI: 10.1134/S003744662106001X
author: Yanyan Li
published in: Siberian Mathematical Journal
publication date: 2021-12-01T00:00:00Z
review text: A ring \(R\) with an involution \(*\) is a generalized Rickart \(*\)-ring if for every \(x\in R\) there is a positive integer \(n\) such that the right annihilator of \(x^n\) is generated by a projection. The authors study various properties of generalized Rickart \(*\)-rings and their relations with generalized Baer \(*\)-rings and other related rings (for example, generalized Baer and generalized Rickart rings). They present various examples and non-examples of generalized Rickart \(*\)-rings (for example, generalized Rickart \(*\)-rings which are neither Rickart \(*\)-rings nor generalized Baer \(*\)-rings).
reviewed by: Lia Vaš
Mathematics Subject Classification ID: 16W10
Mathematics Subject Classification ID: 16W99
Mathematics Subject Classification ID: 16S99
zbMATH DE Number: 7436433
zbMATH Keywords: Rickart \(\ast \)-ring
zbMATH Keywords: generalized Rickart \(\ast \)-ring
zbMATH Keywords: generalized p.p. ring
zbMATH Keywords: generalized Baer \(\ast \)-ring
zbMATH Keywords: Banach \({\ast} \)-algebra
MaRDI profile type: Publication
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full work available at URL: s003744662106001x
OpenAlex ID: W3217249532
description: scientific article; zbMATH DE number 7436433