{"title":"素环上李理想自同构上的恒等式","authors":"N. Rehmam","doi":"10.12958/adm1612","DOIUrl":null,"url":null,"abstract":"In the present paper it is shown that a prime ring R with center Z satisfies s4, the standard identity in fourvariables if R admits a non-identity automorphismσsuch that [u, v]−um[uσ,u]nuσ∈Z for all u in some noncentral ideal L of R, whenever char (R)>n+m or char(R)=0, where n and m are fixed positive integer.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An identity on automorphisms of Lie ideals in prime rings\",\"authors\":\"N. Rehmam\",\"doi\":\"10.12958/adm1612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper it is shown that a prime ring R with center Z satisfies s4, the standard identity in fourvariables if R admits a non-identity automorphismσsuch that [u, v]−um[uσ,u]nuσ∈Z for all u in some noncentral ideal L of R, whenever char (R)>n+m or char(R)=0, where n and m are fixed positive integer.\",\"PeriodicalId\":44176,\"journal\":{\"name\":\"Algebra & Discrete Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-01-01\",\"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/adm1612\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm1612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
An identity on automorphisms of Lie ideals in prime rings
In the present paper it is shown that a prime ring R with center Z satisfies s4, the standard identity in fourvariables if R admits a non-identity automorphismσsuch that [u, v]−um[uσ,u]nuσ∈Z for all u in some noncentral ideal L of R, whenever char (R)>n+m or char(R)=0, where n and m are fixed positive integer.
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