{"title":"CLASSIFICATION OF THREE-DIMENSIONAL ZEROPOTENT ALGEBRAS","authors":"A. Cedilnik, Marjan Jerman","doi":"10.24330/ieja.662996","DOIUrl":null,"url":null,"abstract":"In the article, we perform a classification of algebras with dimensions $\\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.","PeriodicalId":43749,"journal":{"name":"International Electronic Journal of Algebra","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24330/ieja.662996","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.
期刊介绍：
The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.
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