{"title":"Parafree Center-by-Metabelian Lie Algebras","authors":"Zehra Velioǧlu","doi":"10.36753/mathenot.747990","DOIUrl":null,"url":null,"abstract":"Let L be a Lie algebra. Denote the second term of the derived series of L by L (cid:48)(cid:48) . We define the parafree centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center of L is L (cid:48)(cid:48) . Moreover we show that the algebra L/L (cid:48)(cid:48) is parafree metabelian Lie algebra.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.747990","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
Let L be a Lie algebra. Denote the second term of the derived series of L by L (cid:48)(cid:48) . We define the parafree centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center of L is L (cid:48)(cid:48) . Moreover we show that the algebra L/L (cid:48)(cid:48) is parafree metabelian Lie algebra.
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