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 Extreme sets of rank inequalities over Boolean matrices and their preservers Commun. Korean Math. Soc. 2013 Vol. 28, No. 1, 1-9 https://doi.org/10.4134/CKMS.2013.28.1.1Printed January 31, 2013 Seok Zun Song, Mun-Hwan Kang, and Young Bae Jun Jeju National University, Jeju National University, Gyeongsang National University 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, nonbinary Boolean algebra MSC numbers : Primary 15A86, 15A03, 15A04 Downloads: Full-text PDF

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