Extreme preservers of maximal column rank inequalities of matrix sums over semirings

Seok-Zun Song; Kwon-Ryong Park

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 3, page 693-703
  • ISSN: 0011-4642

Abstract

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

How to cite

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Song, Seok-Zun, and Park, Kwon-Ryong. "Extreme preservers of maximal column rank inequalities of matrix sums over semirings." Czechoslovak Mathematical Journal 58.3 (2008): 693-703. <http://eudml.org/doc/37861>.

@article{Song2008,
abstract = {We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme properties with respect to maximal column rank inequalities of matrix sums over semirings.},
author = {Song, Seok-Zun, Park, Kwon-Ryong},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear operator; rank inequality; maximal column rank; linear operator; rank inequality; maximal column rank; matrix sums; matrix ordered pairs},
language = {eng},
number = {3},
pages = {693-703},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extreme preservers of maximal column rank inequalities of matrix sums over semirings},
url = {http://eudml.org/doc/37861},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Song, Seok-Zun
AU - Park, Kwon-Ryong
TI - Extreme preservers of maximal column rank inequalities of matrix sums over semirings
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 693
EP - 703
AB - We characterize linear operators that preserve sets of matrix ordered pairs which satisfy extreme properties with respect to maximal column rank inequalities of matrix sums over semirings.
LA - eng
KW - linear operator; rank inequality; maximal column rank; linear operator; rank inequality; maximal column rank; matrix sums; matrix ordered pairs
UR - http://eudml.org/doc/37861
ER -

References

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  2. Beasley, L. B., Guterman, A. E., 10.1007/s10958-005-0451-1, J. Math. Sci., New York 131 (2005), 5919-5938. (2005) MR2153693DOI10.1007/s10958-005-0451-1
  3. Beasley, L. B., Guterman, A. E., Neal, C. L., 10.1216/rmjm/1181069488, Rocky Mt. J. Math. 36 (2006), 67-80. (2006) Zbl1134.15003MR2228184DOI10.1216/rmjm/1181069488
  4. Beasley, L. B., Lee, S.-G., Song, S.-Z., Linear operators that preserve pairs of matrices which satisfy extreme rank properties, Linear Algebra Appl. 350 (2002), 263-272. (2002) Zbl1004.15025MR1906757
  5. Beasley, L. B., Pullman, N. J., Semiring rank versus column rank, Linear Algebra Appl. 101 (1988), 33-48. (1988) Zbl0642.15002MR0941294
  6. Guterman, A. E., Linear preservers for matrix inequalities and partial orderings, Linear Algebra Appl. 331 (2001), 75-87. (2001) Zbl0985.15018MR1832488
  7. Marsaglia, G., Styan, P., 10.4153/CMB-1972-082-8, Canad. Math. Bull. 15 (1972), 451-452. (1972) MR0311674DOI10.4153/CMB-1972-082-8
  8. al., P. Pierce at, 10.1080/03081089208818176, Linear Multilinear Algebra 33 (1992), 1-119. (1992) DOI10.1080/03081089208818176
  9. Song, S.-Z., 10.1090/S0002-9939-98-04308-1, Proc. Am. Math. Soc. 126 (1998), 2205-2211. (1998) Zbl0896.15009MR1443409DOI10.1090/S0002-9939-98-04308-1

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