J. Korean Math. Soc. 2006; 43(1): 77-86
Printed January 1, 2006
Copyright © The Korean Mathematical Society.
Seok-Zun Song and Kyung-Tae Kang
Cheju National University, Cheju National University
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
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