三角矩阵代数的自同构(英文)  

THE AUTOMORPHISMS OF TRIANGULAR ALGEBRAS

作　　者：陈梅香[1] 陈清华[2] 

机构地区：[1]莆田学院数学系,福建莆田351100 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《数学杂志》2010年第4期587-594,共8页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(10371101;10671161);the Natural Science Foundation of Fujian Province(Z0511022);the Education Committee Foundation of Fujian Province(JA050206;JB04251;JA06008)

摘　　要：本文研究了三角代数的自同构.利用三角代数的基本概念及自同构定义,得到三角代数的自同构形式,并刻画了其内自同构的具体形式.In this article,we study the automorphisms of triangular algebras.By using the basic concept of triangular algebras and the definition of automorphisms,we obtain the forms of the automorphisms of triangular algebras and characterize the concrete structure of the inner automorphisms of triangular algebra.

关 键 词：自同态 自同构 内自同构 

分 类 号：O153.3[理学—数学]