The characterization of operators preserving primitivity for matrix k-tuples

Le Roy B. Beasley, Alexander E. Guterman

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageEnglish
Pages (from-to)1762-1777
Number of pages16
JournalLinear Algebra and Its Applications
Issue number7
StatePublished - 1 Apr 2009
Externally publishedYes

Bibliographical note

Funding Information:
The second author wishes to thank the Grants RFBR 08-01-00693a, NSh-1983.2008.1 and MK-2718.2007.1 for partial financial support. ∗ Corresponding author. E-mail addresses: (L.B. Beasley), (A.E. Guterman).


  • Preservers
  • Primitive matrix tuples
  • Semirings


Dive into the research topics of 'The characterization of operators preserving primitivity for matrix k-tuples'. Together they form a unique fingerprint.

Cite this