Gurninder S. Sandhu, Abdelkarim Boua, Nadeem Ur Rehman
{"title":"Some results involving P-derivations and prime ideals in rings","authors":"Gurninder S. Sandhu, Abdelkarim Boua, Nadeem Ur Rehman","doi":"10.1007/s11565-022-00453-2","DOIUrl":null,"url":null,"abstract":"<div><p>Let R be any arbitrary associative ring and P be a prime ideal of R. In this article, we define and study the notion of P-derivation, generalized P-derivation and P-multiplier. We present theorems on the structure of the factor ring R/P and the description of these mappings in some specific situations.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"69 2","pages":"587 - 604"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-022-00453-2.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-022-00453-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Let R be any arbitrary associative ring and P be a prime ideal of R. In this article, we define and study the notion of P-derivation, generalized P-derivation and P-multiplier. We present theorems on the structure of the factor ring R/P and the description of these mappings in some specific situations.
期刊介绍:
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.