Classification of three-dimensional isopotent algebras

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2023-01-09 DOI:10.24330/ieja.1217445

Anton CEDİLNİK

引用次数: 0

Abstract

In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.

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三维等幂代数的分类

在本文中，我们对维度为$\leq$ 3的代数进行分类，并且每个元素与其平方共线性。根据地场的性质，分类是完整的。

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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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.