Real division algebras with central idempotent satisfying (x^2, y^2, x^2) = 0

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2021-01-01 DOI:10.12988/IJA.2021.91523

Bouchra Aharmim, K. Diaby, O. Fayz, A. Rochdi

引用次数: 0

Abstract

We show that every real division algebra, with a non-zero central idempotent, satisfying (x2, y2, x2) = 0 is flexible and isomorphic to either a commutative division algebra of dimension ≤ 2, a scalar isotope of a mutation of the quaternion algebra H or a kind of isotope of the octonion algebra O. 70 Bouchra Aharmim, Kandé Diaby, Oussama Fayz and Abdellatif Rochdi Mathematics Subject Classification: 17A35

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中心幂等的实除法代数满足(x^2, y^2, x^2) = 0

我们证明了每一个中心幂等非零且满足(x2, y2, x2) = 0的实数除法代数是挠性的，并且与维数≤2的交换除法代数、四元数代数H的一个突变的标量同位素或八元数代数o的一种同位素同构

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

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.