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Maximal column rank preservers of integer matrices

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Abstract

The maximal column rank of an mtimes n matrix A over the ringof integers, is the maximal number of the columns of A that areweakly independent. We characterize the linear operators thatpreserve the maximal column ranks of integer matrices.

참고문헌 (4)

  1. "Column ranks and their preservers over nonnegativereal matrices", 399, pp.3~16 (2005)
  2. "Linearoperators that preserve maximal column rank of Boolean matrices", pp.305~ (1994)
  3. "A comparison of maximal column ranksof matrices over related semirings", 34(1), pp.213~225 (1997)
  4. "Maximal column ranks and theirpreservers of matrices over max algebra", 40(6), pp.943~950 (2003)

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