{"title":"半素数上的正交逆导数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":"{\"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}","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}
Orthogonal Reverse Derivations on semiprime Γ-semirings
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.