The characterization of operators preserving primitivity for matrix \(k\)-tuples
type: Item
instance of: scholarly article
title: The characterization of operators preserving primitivity for matrix \(k\)-tuples
zbMATH Open document ID: 1168.15010
published in: Linear Algebra and its Applications
publication date: 2009-03-17T00:00:00Z
review text: The authors consider the Cartesian product of \(k\) matrix spaces over an antinegative semiring without zero divisors. They obtain a complete characterization of surjective additive operators acting on such a product space, which preserve primitive matrix \(k\)-tuples. Their technique is based on primitive assignments, cycle matrices, and edge-minimal \(k\)-tuples.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 16Y60
zbMATH DE Number: 5529484
zbMATH Keywords: primitive matrix tuples
zbMATH Keywords: preservers
zbMATH Keywords: semirings
zbMATH Keywords: surjective additive operators
zbMATH Keywords: cycle matrices
zbMATH Keywords: edge-minimal \(k\)-tuples
author: Leroy B. Beasley
author: Alexander Guterman
MaRDI profile type: Publication
full work available at URL: j.laa.2008.06.031
OpenAlex ID: W2034717939
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DOI: 10.1016/J.LAA.2008.06.031
description: scientific article; zbMATH DE number 5529484