EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS

Title & Authors
EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS
Song, Seok Zun; Kang, Mun-Hwan; Jun, Young Bae;

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 $\small{T(X)=PXP^T}$ with some permutation matrix P.
Keywords
linear operator;Boolean rank inequality;(P,Q,B)-operator;non-binary Boolean algebra;
Language
English
Cited by
1.
EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING,Beasley, LeRoy B.;Heo, Seong-Hee;Song, Seok-Zun;

대한수학회지, 2014. vol.51. 1, pp.113-123
1.
EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING, Journal of the Korean Mathematical Society, 2014, 51, 1, 113
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