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RANK INEQUALITIES OVER SEMIRINGS

  • BEASLEY LeRoy B. (Department of Mathematics and Statistics Utah State University) ;
  • GUTERMAN ALEXANDER E. (Department of Mathematics and Mechanics Moscow State University)
  • Published : 2005.02.01

Abstract

Inequalities on the rank of the sum and the product of two matrices over semirings are surveyed. Preferences are given to the factor rank, row and column ranks, term rank, and zero-term rank of matrices over antinegative semirings.

Keywords

References

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  3. Bijective linear rank preservers for spaces of matrices over antinegative semirings vol.435, pp.7, 2011, https://doi.org/10.1016/j.laa.2010.06.018
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