{"title":"Orthogonal Reverse Derivations on semiprime Γ-semirings","authors":"B. Venkateswarlu, M. Rao, Y. A. Narayana","doi":"10.36753/MATHENOT.559255","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of reverse derivation and orthogonal reverse derivations on Γ-semirings. Some characterizations of semi prime Γ-semirings are obtained by means of orthogonal reverse derivations. And also obtained necessary and sufficient conditions for two reverse derivations to be orthogonal.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/MATHENOT.559255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we introduce the notion of reverse derivation and orthogonal reverse derivations on Γ-semirings. Some characterizations of semi prime Γ-semirings are obtained by means of orthogonal reverse derivations. And also obtained necessary and sufficient conditions for two reverse derivations to be orthogonal.
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