• Title/Summary/Keyword: Boolean rank inequality

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EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS

  • Song, Seok Zun;Kang, Mun-Hwan;Jun, Young Bae
    • Communications of the Korean Mathematical Society
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    • v.28 no.1
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    • pp.1-9
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    • 2013

  • 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.

  • https://doi.org/10.4134/CKMS.2013.28.1.001 인용 PDF KSCI