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http://dx.doi.org/10.4134/JKMS.2008.45.4.1043

LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX PRODUCTS OVER SEMIRINGS  

Song, Seok-Zun (Department of Mathematics Cheju National University)
Cheon, Gi-Sang (Department of Mathematics Sungkyunkwan University)
Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 1043-1056 More about this Journal
Abstract
The spanning column rank of an $m{\times}n$ matrix A over a semiring is the minimal number of columns that span all columns of A. We characterize linear operators that preserve the sets of matrix ordered pairs which satisfy multiplicative properties with respect to spanning column rank of matrices over semirings.
Keywords
antinegative semiring; spanning column rank; (P, Q, B)-operator; rank inequality;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
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