Commuting Nilpotent Operators and Maximal Rank

被引：1
|
作者：
Kaptanoglu, Semra Ozturk [1 ]
机构：
[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2010年 / 4卷 / 04期
关键词：
Jordan canonical form; Commuting nilpotent matrices; GROUP SCHEMES; VARIETIES; MODULES;
D O I：
10.1007/s11785-009-0029-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let X, (X) over tilde be commuting nilpotent matrices over k with nilpotency p(t), where k is an algebraically closed field of positive characteristic p. We show that if X - (X) over tilde is a certain linear combination of products of pairwise commuting nilpotent matrices, then X is of maximal rank if and only if (X) over tilde is of maximal rank.
引用
收藏
页码：901 / 904
页数：4
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