二维代数的标准形式算法与分离系统

IF 0.5 Q3 MATHEMATICS Malaysian Journal of Mathematical Sciences Pub Date : 2022-09-26 DOI:10.47836/mjms.16.3.02

Houida Ahmed, U. Bekbaev, I. Rakhimov

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引用次数: 1

摘要

对于域F，其中任意二次多项式和三次多项式都有一个根，我们给出了将F上的任意二维代数转换成基于该代数结构常数的“标准形式”的算法。给出了分离非同构二维代数的等式和非等式(不等式)形式的不变条件系统。

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Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras

For a field F, where any polynomial of degree two and three possess a root, we give an algorithm transforming any two-dimensional algebra over F to a "canonical form" in terms of structure constants of the algebra. A system of invariant conditions in form of equalities and non-equalities (inequalities) separating non-isomorphic two-dimensional algebras is given.

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来源期刊

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.