ON MAXIMAL DISTANCES IN A COMMUTING GRAPH

被引：0
|
作者：
Dolinar, Gregor [1 ]
Kuzma, Bojan [2 ,3 ]
Oblak, Polona [4 ]
机构：
[1] Univ Ljubljana, Fac Elect Engn, SI-1000 Ljubljana, Slovenia
[2] Univ Primorska, SI-6000 Koper, Slovenia
[3] IMFM, SI-1000 Ljubljana, Slovenia
[4] Univ Ljubljana, Fac Comp & Informat Sci, SI-1000 Ljubljana, Slovenia
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2012年 / 23卷
关键词：
Commuting graph; Matrix algebra; Algebraically closed field; Centralizer; Distance in graphs; MATRIX ALGEBRAS; RINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterized in terms of the commuting graph.
引用
收藏
页码：243 / 256
页数：14
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