共轭代数的结构与分类

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-06-12 DOI:10.12697/ACUTM.2020.24.06

A. Makhlouf, Ahmed Zahari

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引用次数: 12

摘要

本文的目的是研究共轭代数的结构及其代数变化。我们描述了乘法简单齐姆结合代数，并给出了一些将2 × 2矩阵代数变形为简单齐姆结合代数的例子。给出n≤3的n维共轭代数的分类。然后利用变形理论研究不可约分量。

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Structure and classification of Hom-associative algebras

The purpose of this paper is to study the structure and the algebraic varieties of Hom-associative algebras. We characterize multiplicative simple Hom-associative algebras and give some examples deforming the 2 × 2-matrix algebra to simple Hom-associative algebras. We provide a classification of n-dimensional Hom-associative algebras for n ≤ 3. Then we study irreducible components using deformation theory.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量