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EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS

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초록

We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.

Abstract

We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme cases with respect to maximal column rank inequalities of matrix multiplications over semirings.

참고문헌 (6)

  1. LeRoy B. Beasley, "RANK INEQUALITIES OVER SEMIRINGS", 대한수학회지, 42(2), pp.33~51 (2005), 대한수학회
  2. L. B. Beasley, "LP-problems for rank inequalities over semirings: factorization rank, Sovrem", Mat. Prilozh., (13), pp.53~70 (2004)
  3. L. B. Beasley, "Linear operators that preserve pairs of matrices which satisfy extreme rank properties", Linear Algebra Appl., 350, pp.263~272 (2002)
  4. S.-G. Hwang, "Linear operators that preserve maximal column rank of Boolean matrices", Linear and Multilinear Algebra, 36(4), pp.305~313 (1994)
  5. S. Pierce, "A survey of linear preserver problems", Linear and Multilinear Algebra, 33(1), pp.1~129 (1992), Gordon and Breach Science Publishers
  6. S.-Z. Song, "Linear operators that preserve maximal column ranks of nonnegative integer matrices", Proc. Amer. Math. Soc., 126(8), pp.2205~2211 (1998)

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