全矩阵代数的一类子代数  

A CLASS SUBALGEBRA OF MATRIX ALGEBRAS

作　　者：王宏[1] 

机构地区：[1]黑河学院

出　　处：《哈尔滨师范大学自然科学学报》2006年第2期43-44,共2页Natural Science Journal of Harbin Normal University

摘　　要：研究了由一个矩阵生成的矩阵子代数的基本性质,给出了其极大理想的完全分类及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：矩阵子代数 极小多项式 极大理想 半单代数 

分 类 号：O153.3[理学—数学] O153.1[理学—基础数学]