The characterization of operators preserving primitivity for matrix k-tuples

被引：11
|
作者：
Beasley, LeRoy B. [1 ]
Guterman, Alexander E. [2 ]
机构：
[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
[2] Moscow MV Lomonosov State Univ, Dept Algebra, Fac Math & Mech, Moscow 119991, Russia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 07期
关键词：
Primitive matrix tuples; Preservers; Semirings; EXPONENTS; PAIRS;
D O I：
10.1016/j.laa.2008.06.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a complete characterization of surjective additive operators acting on the Cartesian product of several matrix spaces over an antinegative semiring without zero divisors, which map primitive matrix k-tuples to primitive matrix k-tuples. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1762 / 1777
页数：16
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