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

页码：1762 / 1777

页数：16

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