具有与C同构的两个不同子代数的四维绝对值代数

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2023-01-01 DOI:10.12988/ija.2023.91737

A. Moutassim, Mohamed Louzari, Aziz Es. Sadiq

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引用次数: 1

摘要

本文的目的是用代数方法构造与已知代数H不同构的四维绝对值代数m1、m2和m3。这些新代数包含一个非零的无所不在幂等。进一步，我们对所有具有两个不同子代数同构于C的四维绝对值代数进行了分类。注意，存在一个四维绝对值代数，它不包含二维的子代数，这意味着，对所有四维绝对值代数进行分类的问题似乎仍然是开放的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Four dimensional absolute valued algebras having two different subalgebras isomorphic to C

The aim of this paper is to construct, by algebraic methods, some new class of four-dimensional absolute valued algebras, namely M 1 , M 2 and M 3 which are not isomorphic to the known algebra H . These new algebras contain a nonzero omnipresent idempotent. Furthermore, we classify all four-dimensional absolute valued algebras having two dif-ferent subalgebras isomorphic to C . Note that there exists a four-dimensional absolute valued algebra containing no subalgebra of dimension two, which means that, the problem of classifying all four-dimensional absolute valued algebras seems still to be open.

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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.