EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS
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Song, Seok-Zun
(Department of Mathematics Jeju National University)
Park, Kwon-Ryong (Department of Mathematics Jeju National University) Encinas, L. Hernandez (Department of Information Processing and Coding Applied Physics Institute, CSIC) |
| 1 | S. Pierce and others, A survey of linear preserver problems, Linear and Multilinear Algebra 33 (1992), no. 1-2. Gordon and Breach Science Publishers, Yverdon, 1992. pp. 1-129 DOI ScienceOn |
| 2 | S.-Z. Song, Linear operators that preserve maximal column ranks of nonnegative integer matrices, Proc. Amer. Math. Soc. 126 (1998), no. 8, 2205-2211 DOI ScienceOn |
| 3 | L. B. Beasley and A. E. Guterman, Rank inequalities over semirings, J. Korean Math. Soc. 42 (2005), no. 2, 223-241 과학기술학회마을 DOI ScienceOn |
| 4 | L. B. Beasley and A. E. Guterman, LP-problems for rank inequalities over semirings: factorization rank, Sovrem. Mat. Prilozh. No. 13, Algebra (2004), 53.70; translation in J. Math. Sci. (N. Y.) 131 (2005), no. 5, 5919-5938 DOI ScienceOn |
| 5 | L. B. Beasley, S.-G. Lee, and S.-Z. Song, Linear operators that preserve pairs of matrices which satisfy extreme rank properties, Linear Algebra Appl. 350 (2002), 263-272 DOI ScienceOn |
| 6 | S.-G. Hwang, S.-J. Kim, and S.-Z. Song, Linear operators that preserve maximal column rank of Boolean matrices, Linear and Multilinear Algebra 36 (1994), no. 4, 305-313 DOI ScienceOn |
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