Bijective linear rank preservers for spaces of matrices over antinegative semirings

被引：2
|
作者：
Pereira, Rajesh [1 ]
机构：
[1] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 07期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Matrix theory; Semirings; Rank; Linear preservers;
D O I：
10.1016/j.laa.2010.06.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify the bijective linear operators on spaces of matrices over antinegative commutative semirings with no zero divisors which preserve certain rank functions such as the symmetric rank, the factor rank and the tropical rank. We also classify the bijective linear operators on spaces of matrices over the max-plus semiring which preserve the Gondran-Minoux row rank or the Gondran-Minoux column rank. (C) 2010 Elsevier Inc. All rights reserved.
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页码：1666 / 1671
页数：6
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