数学杂志2013,Vol.33Issue(1):95-98,4.
华的一个定理在单Artin环上的推广
EXTENSION OF HUA'S THEOREM TO SIMPLE ARTIN RING
摘要
Abstract
In this paper, we study the inner rank and the arithmetic distance of the matrix over simple Artin ring. By using Wedderburn-Artin theorem, we obtain that adjacency preserving of the matrices over simple Artin ring is equivalent to its representation matrix, and extend Hua's theorem on the geometry of the rectangular matrices to a simple Artin ring.关键词
单Artin环/矩阵几何/内秩/算术距离Key words
simple Artin ring/ geometry of matrices/ inner rank/ arithmetic distance.分类
数理科学引用本文复制引用
刘志军,黄礼平,王加宾..华的一个定理在单Artin环上的推广[J].数学杂志,2013,33(1):95-98,4.基金项目
湖南省教育厅资助重点科研项目(10A002). (10A002)