全矩阵代数的一类子代数  

A class subalgebra of matrix algebras

作　　者：周晓[1] 李立斌[1] 

机构地区：[1]扬州教育学院数学系,江苏扬州225002

出　　处：《宝鸡文理学院学报（自然科学版）》2004年第2期95-96,共2页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

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：O151.21[理学—数学]