{"title":"Rings whose units commute with nilpotent elements","authors":"G. Călugăreanu","doi":"10.24193/mathcluj.2018.2.03","DOIUrl":null,"url":null,"abstract":"Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply commutativity or reduceness are found. MSC 2010. 13C99, 16D80, 16U80","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2018.2.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 3
Abstract
Rings with the property in the title are studied under the name of ”uni” rings. These are compared with other known classes of rings and since commutative rings and reduced rings trivially have this property, conditions which added to uni rings imply commutativity or reduceness are found. MSC 2010. 13C99, 16D80, 16U80
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