{"title":"论带导数的因子环 R/P 的交换性","authors":"Mohammed Zerra","doi":"10.1007/s11565-023-00476-3","DOIUrl":null,"url":null,"abstract":"<div><p>Our goal in this paper is to initiate a new approach consisting to characterize the commutativity of a factor ring <i>R</i>/<i>P</i> with respect to a prime ideal <i>P</i> of a ring <i>R</i> admits some central valued identities with derivations of <i>R</i>. Some well-known results concerning the commutativity of prime rings have been improved. Moreover we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 2","pages":"369 - 380"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-023-00476-3.pdf","citationCount":"0","resultStr":"{\"title\":\"On commutativity of a factor ring R/P with derivations\",\"authors\":\"Mohammed Zerra\",\"doi\":\"10.1007/s11565-023-00476-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Our goal in this paper is to initiate a new approach consisting to characterize the commutativity of a factor ring <i>R</i>/<i>P</i> with respect to a prime ideal <i>P</i> of a ring <i>R</i> admits some central valued identities with derivations of <i>R</i>. Some well-known results concerning the commutativity of prime rings have been improved. Moreover we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"70 2\",\"pages\":\"369 - 380\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s11565-023-00476-3.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/s11565-023-00476-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-023-00476-3","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
摘要
我们在本文中的目标是提出一种新方法，包括描述因子环 R/P 的换元性，它相对于环 R 的素理想 P 承认与 R 的派生的一些中心值同构。此外，我们还举例说明了定理假设中的各种限制并非多余。
On commutativity of a factor ring R/P with derivations
Our goal in this paper is to initiate a new approach consisting to characterize the commutativity of a factor ring R/P with respect to a prime ideal P of a ring R admits some central valued identities with derivations of R. Some well-known results concerning the commutativity of prime rings have been improved. Moreover we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
