环上的中心扩展左导

IF 0.9 Q2 MATHEMATICS Arabian Journal of Mathematics Pub Date : 2024-11-26 DOI:10.1007/s40065-024-00481-0

Aziza Gouda, H. Nabiel

{"title":"环上的中心扩展左导","authors":"Aziza Gouda, H. Nabiel","doi":"10.1007/s40065-024-00481-0","DOIUrl":null,"url":null,"abstract":"<div><p>We aim to introduce the concept of centrally-extended left derivations and prove some related results to this new concept. The first part is devoted to prove that a centrally extended left derivation preserves the center of semiprime rings. The second part deals with equivalence between left derivations and our new concept. Finally we provide some results regarding commutativity.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"513 - 519"},"PeriodicalIF":0.9000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00481-0.pdf","citationCount":"0","resultStr":"{\"title\":\"On centrally-extended left derivations in rings\",\"authors\":\"Aziza Gouda, H. Nabiel\",\"doi\":\"10.1007/s40065-024-00481-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We aim to introduce the concept of centrally-extended left derivations and prove some related results to this new concept. The first part is devoted to prove that a centrally extended left derivation preserves the center of semiprime rings. The second part deals with equivalence between left derivations and our new concept. Finally we provide some results regarding commutativity.</p></div>\",\"PeriodicalId\":54135,\"journal\":{\"name\":\"Arabian Journal of Mathematics\",\"volume\":\"13 3\",\"pages\":\"513 - 519\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s40065-024-00481-0.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arabian Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40065-024-00481-0\",\"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":"Arabian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40065-024-00481-0","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

我们的目的是引入中心扩展左导的概念，并证明这个新概念的一些相关结果。第一部分证明了一个中心扩展左导数保留了半素环的中心。第二部分讨论左导与新概念之间的等价性。最后给出了一些关于交换性的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On centrally-extended left derivations in rings

We aim to introduce the concept of centrally-extended left derivations and prove some related results to this new concept. The first part is devoted to prove that a centrally extended left derivation preserves the center of semiprime rings. The second part deals with equivalence between left derivations and our new concept. Finally we provide some results regarding commutativity.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.