{"title":"中心为单位平方根的四维绝对值代数","authors":"K. Diaby, O. Diankha, Amar Fall, A. Rochdi","doi":"10.12988/IJA.2021.91515","DOIUrl":null,"url":null,"abstract":"There are exactly four absolute valued algebras of dimension four with central square roots of unit among which H, ∗ H . We present them and specify their nonzero idempotents. Mathematics Subject Classification: 17A80, 17A75, 17A60, 17D99","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Four dimensional absolute valued algebras with central square roots of unit\",\"authors\":\"K. Diaby, O. Diankha, Amar Fall, A. Rochdi\",\"doi\":\"10.12988/IJA.2021.91515\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"There are exactly four absolute valued algebras of dimension four with central square roots of unit among which H, ∗ H . We present them and specify their nonzero idempotents. Mathematics Subject Classification: 17A80, 17A75, 17A60, 17D99\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":null,\"pages\":null},\"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.2021.91515\",\"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.2021.91515","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Four dimensional absolute valued algebras with central square roots of unit
There are exactly four absolute valued algebras of dimension four with central square roots of unit among which H, ∗ H . We present them and specify their nonzero idempotents. Mathematics Subject Classification: 17A80, 17A75, 17A60, 17D99
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.