{"title":"关于*素环的Lie理想和乘性广义(α, β)-逆导","authors":"M. Dadhwal, G. Devi","doi":"10.56947/gjom.v14i2.1000","DOIUrl":null,"url":null,"abstract":"In this paper, the notion of multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations of *-prime rings is characterized. The action of these derivations on *-Lie ideals of *-prime rings is also investigated. Moreover, the commutativity of *-prime rings admitting multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations satisfying certain algebraic identities on *-Lie ideals is explored.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Lie ideals and multiplicative generalized (α, β)-reverse derivations of *-prime rings\",\"authors\":\"M. Dadhwal, G. Devi\",\"doi\":\"10.56947/gjom.v14i2.1000\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the notion of multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations of *-prime rings is characterized. The action of these derivations on *-Lie ideals of *-prime rings is also investigated. Moreover, the commutativity of *-prime rings admitting multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations satisfying certain algebraic identities on *-Lie ideals is explored.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v14i2.1000\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v14i2.1000","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Lie ideals and multiplicative generalized (α, β)-reverse derivations of *-prime rings
In this paper, the notion of multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations of *-prime rings is characterized. The action of these derivations on *-Lie ideals of *-prime rings is also investigated. Moreover, the commutativity of *-prime rings admitting multiplicative generalized (α, β)-reverse derivations associated with (α, β)-reverse derivations satisfying certain algebraic identities on *-Lie ideals is explored.