{"title":"副自由中心-亚元李代数","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":"{\"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}","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
摘要
设L是李代数。表示L × L (cid:48)(cid:48)的派生级数的第二项。定义了仿自由中心-元李代数。我们证明了如果L是一个无中心-代谢物，那么L的中心是L (cid:48)(cid:48)。进一步证明了代数L/L (cid:48)(cid:48)是副自由元李代数。
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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