一类三维结合代数的分类  

The Classification of a Class of Three Dimensional Associative Algebras

作　　者：李军 温永琪 LI Jun;WEN Yongqi(School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China)

机构地区：[1]赣南师范大学数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范大学学报》2022年第3期21-24,共4页Journal of Gannan Normal University

基　　金：江西省教育厅科学技术项目(GJJ180772)。

摘　　要：研究一类由行列对称矩阵构成的结合代数的结构性质.利用有限维结合代数的正则表示,以矩阵形式给出了实数域上由行列对称矩阵构成的含单位元的三维结合代数的分类.In this paper,we study the structure of a class of associative algebras composed of row and column symmetric matrices.By using the regular representation of finite dimensional associative algebras,the classification of three dimensional associative algebras composed of row and column symmetric matrices over the field of real numbers are given in matrix form.

关 键 词：行列对称矩阵 结合代数 正则表示 

分 类 号：O151.21[理学—数学] O153.3[理学—基础数学]