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http://dx.doi.org/10.4134/JKMS.2006.43.3.539

LINEAR PRESERVERS OF BOOLEAN NILPOTENT MATRICES  

Song, Seok-Zun (Department of Mathematics Cheju National University)
Kang, Kyung-Tae (Department of Mathematics Cheju National University)
Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.3, 2006 , pp. 539-552 More about this Journal
Abstract
For an $n{\times}n$ Boolean matrix A, A is called nilpotent if $A^m=O$ for some positive integer m. We consider the set of $n{\times}n$ nilpotent Boolean matrices and we characterize linear operators that strongly preserve nilpotent matrices over Boolean algebras.
Keywords
Boolean algebra; nilpotent matrix; constituent; linear operator;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
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