Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2006; 43(1): 77-86

Printed January 1, 2006

Copyright © The Korean Mathematical Society.

Linear maps that preserve commuting pairs of matrices over general Boolean algebra

Seok-Zun Song and Kyung-Tae Kang

Cheju National University, Cheju National University

Abstract

We consider the set of commuting pairs of matrices and their preservers over binary Boolean algebra, chain semiring and general Boolean algebra. We characterize those linear operators that preserve the set of commuting pairs of matrices over a general Boolean algebra and a chain semiring.

Keywords: linear operator, constituent, canonical form, commuting pair of matrices

MSC numbers: 15A03, 15A04, 15A33