{"title":"满足恒等式的实数除法代数","authors":"Bouchra Aharmim, O. Fayz, E. Idnarour, A. Rochdi","doi":"10.12988/IJA.2021.91545","DOIUrl":null,"url":null,"abstract":"New simpler statements of the known theorems of Frobenius and Zorn via identities of the form (x2, y2, z2) = 0 and (x2, y2, y2) = (y2, y2, x2) = 0 are given. Also, the 124 B. Aharmim, O. Fayz, E. Idnarour and A. Rochdi identity (x2, x2, x2) = 0 in a real division algebra with a non-zero central element forces the power-commutativity. Mathematics Subject Classification: 17A35","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"43 2 Suppl 1 1","pages":"123-128"},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Real division algebras satisfying some identities\",\"authors\":\"Bouchra Aharmim, O. Fayz, E. Idnarour, A. Rochdi\",\"doi\":\"10.12988/IJA.2021.91545\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New simpler statements of the known theorems of Frobenius and Zorn via identities of the form (x2, y2, z2) = 0 and (x2, y2, y2) = (y2, y2, x2) = 0 are given. Also, the 124 B. Aharmim, O. Fayz, E. Idnarour and A. Rochdi identity (x2, x2, x2) = 0 in a real division algebra with a non-zero central element forces the power-commutativity. Mathematics Subject Classification: 17A35\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":\"43 2 Suppl 1 1\",\"pages\":\"123-128\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/IJA.2021.91545\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/IJA.2021.91545","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
通过(x2, y2, z2) = 0和(x2, y2, y2) = (y2, y2) = 0的恒等式给出了已知的Frobenius和Zorn定理的新的更简单的表述。此外，124 B. Aharmim, O. Fayz, E. Idnarour和a . Rochdi恒等式(x2, x2, x2) = 0的中心元非零实数除法代数强制幂交换性。数学学科分类:17A35
New simpler statements of the known theorems of Frobenius and Zorn via identities of the form (x2, y2, z2) = 0 and (x2, y2, y2) = (y2, y2, x2) = 0 are given. Also, the 124 B. Aharmim, O. Fayz, E. Idnarour and A. Rochdi identity (x2, x2, x2) = 0 in a real division algebra with a non-zero central element forces the power-commutativity. Mathematics Subject Classification: 17A35
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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