摘要
设R是任意含有单位元的交换环,N_n(R)是R上的所有n×n严格上三角矩阵组成的乘法半群.本文对N_n(R)的任意自同构给出了详细的描述.
Let R be an arbitrary commutative ring with identity, and Nn（R） be the multiplicative semigroup consisting of all n × n strictly upper triangular matrices over R. The aim of this paper is to give an explicit description of any automorphism of the semigroup Nn （R）. Key words： semigroup; automorphism; strictly upper triangular matrix; commutative ring
出处
《数学进展》
CSCD
北大核心
2011年第5期621-630,共10页
Advances in Mathematics（China）
基金
Supported by the Youth Foundation of Jiangxi Provincial Education Department(No. GJJ10155)
关键词
半群
自同构
严格上三角矩阵
交换环
semigroup
automorphism
strictly upper triangular matrix
commutativering
