海南师范大学学报：自然科学版2012，Vol.25Issue(3)：244-248,5.
交换半环上严格上三角矩阵半环的自同构
Automorphisms of Strictly Upper Triangular Matrix over Commutative Semirings
摘要
Abstract
In this paper, by using some properties of matrix, the reduction to absurdity, mathematical induction meth- od, we obtaint some characterizations of the automorphism Ф of Nn ( R ). ( 1 ) when n=2, for any r ∈ R, Ф (rE12) =g (r) E12, where there is a map of keeping the adsition:R →R; (2)when n=3, Ф=θD·ξg·τf ;(3)when n≥4,Ф=θDφXξgτf, where θD is a diagonal automorphism of N.(R), ξg is an automorphism of Nn(R),τf is a central automorphism of Nn(R), φX is an inner automorphism of Nn(R).关键词
半环/矩阵半环/自同构Key words
Semiring/matrix Semiring/automorphism分类
数学引用本文复制引用
黄惠玲..交换半环上严格上三角矩阵半环的自同构[J].海南师范大学学报：自然科学版,2012,25(3):244-248,5.基金项目
福建省自然科学基金资助项目 （）
