在某些代数类上

Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1968-01-01 DOI:10.32917/HMJ/1206138647

T. Ravisankar

{"title":"在某些代数类上","authors":"T. Ravisankar","doi":"10.32917/HMJ/1206138647","DOIUrl":null,"url":null,"abstract":"Sugiura [4] and Jόichi [_2~] have studied the classes (A\\ (Ak\\ &>2 and (AJ) of Lie algebras. In this paper we define these as well as some other classes for general nonassociative algebras and obtain a characterization of alternative algebras over a field of characteristic zero belonging to any one of these classes. Incidentally, we obtain certain results which include striking improvements of earlier ones due to Sugiura (loc. cit.) and Jδichi (loc. cit.).","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"7 1","pages":"225-232"},"PeriodicalIF":0.0000,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On certain classes of algebras\",\"authors\":\"T. Ravisankar\",\"doi\":\"10.32917/HMJ/1206138647\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Sugiura [4] and Jόichi [_2~] have studied the classes (A\\\\ (Ak\\\\ &>2 and (AJ) of Lie algebras. In this paper we define these as well as some other classes for general nonassociative algebras and obtain a characterization of alternative algebras over a field of characteristic zero belonging to any one of these classes. Incidentally, we obtain certain results which include striking improvements of earlier ones due to Sugiura (loc. cit.) and Jδichi (loc. cit.).\",\"PeriodicalId\":17080,\"journal\":{\"name\":\"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry\",\"volume\":\"7 1\",\"pages\":\"225-232\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1968-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32917/HMJ/1206138647\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32917/HMJ/1206138647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

Sugiura[4]和jarisichi[_2~]研究了李代数的(A\ (Ak\ &>2)和(AJ)类。在本文中，我们定义了一般非结合代数的这类和其他一些类，并在特征为零的域上得到了任意一类的可选代数的一个刻画。顺便提一下，我们得到了一些结果，其中包括由于杉村(loc)的早期结果的显著改进。)和Jδichi (loc。cit)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On certain classes of algebras

Sugiura [4] and Jόichi [_2~] have studied the classes (A\ (Ak\ &>2 and (AJ) of Lie algebras. In this paper we define these as well as some other classes for general nonassociative algebras and obtain a characterization of alternative algebras over a field of characteristic zero belonging to any one of these classes. Incidentally, we obtain certain results which include striking improvements of earlier ones due to Sugiura (loc. cit.) and Jδichi (loc. cit.).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry

自引率

0.00%

发文量