{"title":"环和巴拿赫代数上具有幂值的广义推导","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":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"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\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Bohemica","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":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
.让 R 是素环,I 是 R 的一个非零理想。本文的目的是对 R 的广义派生进行分类,这些派生满足 I 上幂值的一些代数同一性。更确切地说,我们考虑 R 的两个广义派生 F 和 H,这两个派生满足以下同一性:
Generalized derivations with power values on rings and Banach algebras
. 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: