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Article

Song, Seok-Zun ; Kang, Kyung-Tae ; Yi, Sucheol
Perimeter preservers of nonnegative integer matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 9-15
MSC: 15A04, 15A30, 15A33, 15A36, 15A48 | MR 2076857 | Zbl 1099.15001
Keywords:
linear operator; rank; perimeter; $(P, Q, B)$-operator
Summary:

References:
[1] Beasley L.B., Pullman N.J.: Boolean rank-preserving operators and Boolean rank-$1$ spaces. Linear Algebra Appl. 59 (1984), 55-77. MR 0743045 | Zbl 0536.20044
[2] Beasley L.B., Gregory D.A., Pullman N.J.: Nonnegative rank-preserving operators. Linear Algebra Appl. 65 (1985), 207-223. MR 0774353 | Zbl 0561.15002
[3] Beasley L.B., Pullman N.J.: Term-rank, permanent and rook-polynomial preservers. Linear Algebra Appl. 90 (1987), 33-46. MR 0884107 | Zbl 0617.15001
[4] Beasley L.B., Song S.Z., Lee S.G.: Zero term rank preservers. Linear and Multilinear Algebra 48 (2001), 313-318. MR 1928400 | Zbl 0987.15002
[5] Song S.Z.: Linear operators that preserve maximal column ranks of nonnegative integer matrices. Proc. Amer. Math. Soc. 126 (1998), 2205-2211. MR 1443409 | Zbl 0896.15009
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