{"title":"Some commutativity criteria for 3-prime near-rings","authors":"A. Raji","doi":"10.12958/adm1439","DOIUrl":null,"url":null,"abstract":"In the present paper, we introduce the notion of∗-generalized derivation in near-ring N and investigate some properties in volving that of∗-generalized derivation of a∗-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have beengeneralized. Furthermore, we will give examples to demonstratethat the restrictions imposed on the hypothesis of various resultsare not superŕuous.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm1439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper, we introduce the notion of∗-generalized derivation in near-ring N and investigate some properties in volving that of∗-generalized derivation of a∗-prime near-ring N which forces N to be a commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have beengeneralized. Furthermore, we will give examples to demonstratethat the restrictions imposed on the hypothesis of various resultsare not superŕuous.
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