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

页码：901 / 904

页数：4

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