Unital real division algebras satisfying (x2, y2, x2) = 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.2021.91501

K. Diaby, O. Diankha, M. Ly, A. Rochdi

引用次数: 0

Abstract

Let A be a real division algebra with unit-element. We show that if A satisfies (x2, y2, x2) = 0 then it is flexible, quadratic and isomorphic to either R, C, a mutation of the quaternion algebra H, or a vector isotope of the octonion algebra O. Mathematics Subject Classification: 17A35 12 Kandé Diaby, Oumar Diankha, Mamoudou Ly and Abdellatif Rochdi

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满足(x2, y2, x2) = 0的一元实数除法代数

设A是一个有单位元的实数除法代数。我们证明，如果A满足(x2, y2, x2) = 0，那么它是柔性的、二次的、同构于R、C(四元数代数H的一个突变)或八元数代数o的一个矢量同位素

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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.