[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2013.28.1.001

EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS

Song, Seok Zun (Department of Mathematics Jeju National University)
Kang, Mun-Hwan (Department of Mathematics Jeju National University)
Jun, Young Bae (Department of Mathematics Education (and RINS) Gyeongsang National University)

Publication Information

Communications of the Korean Mathematical Society / v.28, no.1, 2013 , pp. 1-9 More about this Journal

Abstract

We consider the sets of matrix ordered pairs which satisfy extremal properties with respect to Boolean rank inequalities of matrices over nonbinary Boolean algebra. We characterize linear operators that preserve these sets of matrix ordered pairs as the form of $T(X)=PXP^T$ with some permutation matrix P.

Keywords

linear operator; Boolean rank inequality; (P,Q,B)-operator; non-binary Boolean algebra;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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