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保持粘切的加法满射及其应用
Additive Sujective Maps Preserving Adjacency and Their Application

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保持粘切的加法满射及其应用.pdf (191.0Kb)
Date
2006-09-30
Author
唐孝敏
曹重光
黄礼平
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  • 数学科学-已发表论文 [2662]
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Abstract
设m 2,Mm(D)是除环D上的所有m阶矩阵构成的加法群.本文应用矩阵几何基本定理刻划了Mm(D)上保持粘切的加法满射.作为应用,还给出了Mm(D)上保持一般线性群的加法满射的形式.
 
Suppose m2,M_m(D) is the additive group of all matrices of degree m over skew-field D.In this paper,by using the fundamental Theorems of the geometry of matrices we characterize the additive surjective map preserving adjacency on M_m(D).As applications,the forms of any additive sujective map preserving general linear groups on M_m(D) are given.
 
Citation
数学研究,2006,(03):97-103
URI
https://dspace.xmu.edu.cn/handle/2288/154703

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