{"title":"关于马尔切夫代数的某些类","authors":"T. Ravisankar","doi":"10.32917/HMJ/1206138648","DOIUrl":null,"url":null,"abstract":"This note is a sequel to the author's earlier paper [5]. For brevity we adopt the notations and definitions employed in Q5] without explaining them here again. This note is concerned only with Malcev algebras (finite-dimensional) belonging to the classes of general algebras dealt with in \\Ί5Γ\\. As is well-known (see e.g. E6]), a Malcev algebra A is an anticommutative algebra satisfying the identity (x, y, z in A):","PeriodicalId":17080,"journal":{"name":"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry","volume":"8 1","pages":"233-236"},"PeriodicalIF":0.0000,"publicationDate":"1968-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On certain classes of Malcev algebras\",\"authors\":\"T. Ravisankar\",\"doi\":\"10.32917/HMJ/1206138648\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This note is a sequel to the author's earlier paper [5]. For brevity we adopt the notations and definitions employed in Q5] without explaining them here again. This note is concerned only with Malcev algebras (finite-dimensional) belonging to the classes of general algebras dealt with in \\\\Ί5Γ\\\\. As is well-known (see e.g. E6]), a Malcev algebra A is an anticommutative algebra satisfying the identity (x, y, z in A):\",\"PeriodicalId\":17080,\"journal\":{\"name\":\"Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry\",\"volume\":\"8 1\",\"pages\":\"233-236\"},\"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/1206138648\",\"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/1206138648","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
这篇笔记是作者早期论文[5]的续篇。为简洁起见,我们采用Q5]中使用的符号和定义,这里不再解释它们。本注只涉及Malcev代数(有限维),它属于\Ί5Γ\中讨论的一般代数类。众所周知(参见例E6), Malcev代数a是一个反交换代数,满足恒等式(a中的x, y, z):
This note is a sequel to the author's earlier paper [5]. For brevity we adopt the notations and definitions employed in Q5] without explaining them here again. This note is concerned only with Malcev algebras (finite-dimensional) belonging to the classes of general algebras dealt with in \Ί5Γ\. As is well-known (see e.g. E6]), a Malcev algebra A is an anticommutative algebra satisfying the identity (x, y, z in A):