{"title":"具有自同态α的Nil可逆环的扩张","authors":"Iman Jalal Ali, C. A. K. Ahmed","doi":"10.31559/glm2022.12.1.2","DOIUrl":null,"url":null,"abstract":"The concept of an α − nil reversible ring is a generalization of α − reversible ring as well as an extension of nil reversible rings. We first consider basic properties of α − nil reversible rings. Then we investigate extensions of α − nil reversible, including trivial extension, Dorroh extension and Jordan extension.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extensions of Nil-Reversible Rings with an Endomorphism α\",\"authors\":\"Iman Jalal Ali, C. A. K. Ahmed\",\"doi\":\"10.31559/glm2022.12.1.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept of an α − nil reversible ring is a generalization of α − reversible ring as well as an extension of nil reversible rings. We first consider basic properties of α − nil reversible rings. Then we investigate extensions of α − nil reversible, including trivial extension, Dorroh extension and Jordan extension.\",\"PeriodicalId\":32454,\"journal\":{\"name\":\"General Letters in Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"General Letters in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31559/glm2022.12.1.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"General Letters in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31559/glm2022.12.1.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extensions of Nil-Reversible Rings with an Endomorphism α
The concept of an α − nil reversible ring is a generalization of α − reversible ring as well as an extension of nil reversible rings. We first consider basic properties of α − nil reversible rings. Then we investigate extensions of α − nil reversible, including trivial extension, Dorroh extension and Jordan extension.
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