由一个元素生成的全矩阵子代数  

A Class Subalgebra of Matrix Algebras

作　　者：王宏[1] Wang Hong(Heihe College)

机构地区：[1]黑河学院

出　　处：《哈尔滨师范大学自然科学学报》2020年第3期10-12,共3页Natural Science Journal of Harbin Normal University

摘　　要：论述由一个元素生成的全矩阵子代数的性质,并且论述了其极大理想的完全分类和这类子代数是半单代数的充要条件.The basic properties of matrix subalgebra were investiaged,the matrix subalgebra was generated by a single matrix,all maximal ideals were classified,the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given.

关 键 词：极大理想 半单代数 矩阵子代数 极小多项式 

分 类 号：O151[理学—数学]