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http://dx.doi.org/10.4134/BKMS.2009.46.2.373

BOOLEAN REGULAR MATRICES AND THEIR STRONGLY PRESERVERS  

Song, Seok-Zun (DEPARTMENT OF MATHEMATICS JEJU NATIONAL UNIVERSITY)
Kang, Kyung-Tae (DEPARTMENT OF MATHEMATICS JEJU NATIONAL UNIVERSITY)
Kang, Mun-Hwan (DEPARTMENT OF MATHEMATICS JEJU NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.2, 2009 , pp. 373-385 More about this Journal
Abstract
An m${\times}$n Boolean matrix A is called regular if there exists an n${\times}$m Boolean matrix X such that AXA = A. We have characterizations of Boolean regular matrices. We also determine the linear operators that strongly preserve Boolean regular matrices.
Keywords
Boolean algebra; generalized inverse of a matrix; regular matrix; (U, V )-operator;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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