{"title":"Some Commutativity Criteria for Rings with Involution","authors":"B. Nejjar, A. Kacha, A. Mamouni","doi":"10.12816/0048698","DOIUrl":null,"url":null,"abstract":"In this paper we establish some commutativity criteria for a ring with involution (R, ∗) in which derivations satisfy certain algebraic identities. Some related results characterizing commutativity of prime rings have been discussed. Furthermore, we provide examples to show that the conditions imposed in the hypotheses of our results are necessary.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0048698","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper we establish some commutativity criteria for a ring with involution (R, ∗) in which derivations satisfy certain algebraic identities. Some related results characterizing commutativity of prime rings have been discussed. Furthermore, we provide examples to show that the conditions imposed in the hypotheses of our results are necessary.
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