Michael Aristidou, Philip R. Brown, George Chailos
{"title":"Idempotent and nilpotent elements in octonion rings over Z","authors":"Michael Aristidou, Philip R. Brown, George Chailos","doi":"10.24193/subbmath.2024.1.01","DOIUrl":null,"url":null,"abstract":"In this paper, we show that the set O/Zp, where p is a prime number, does not form a skew field and discuss idempotent and nilpotent elements in the (finite) ring O/Zp. We provide examples and establish conditions for idempotency\nand nilpotency.\nMathematics Subject Classification (2010): 15A33, 15A30, 20H25, 15A03.\nReceived 27 July 2021; Accepted 14 December 2021\n","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":" 39","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Universitatis Babes-Bolyai Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/subbmath.2024.1.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we show that the set O/Zp, where p is a prime number, does not form a skew field and discuss idempotent and nilpotent elements in the (finite) ring O/Zp. We provide examples and establish conditions for idempotency
and nilpotency.
Mathematics Subject Classification (2010): 15A33, 15A30, 20H25, 15A03.
Received 27 July 2021; Accepted 14 December 2021