• 제목/요약/키워드: 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
    • 대한수학회논문집
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    • 제28권1호
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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.