{"title":"Generalized derivations with power values on rings and Banach algebras","authors":"Abderrahman Hermas, A. Mamouni, L. Oukhtite","doi":"10.21136/mb.2024.0079-23","DOIUrl":null,"url":null,"abstract":". Let R be a prime ring and I a nonzero ideal of R. The purpose of this paper is to classify generalized derivations of R satisfying some algebraic identities with power values on I. More precisely, we consider two generalized derivations F and H of R satisfying one of the following identities:","PeriodicalId":0,"journal":{"name":"","volume":"1 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2024.0079-23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. Let R be a prime ring and I a nonzero ideal of R. The purpose of this paper is to classify generalized derivations of R satisfying some algebraic identities with power values on I. More precisely, we consider two generalized derivations F and H of R satisfying one of the following identities:
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