LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX PRODUCTS OVER SEMIRINGS

Title & Authors
LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX PRODUCTS OVER SEMIRINGS
Song, Seok-Zun; Cheon, Gi-Sang; Jun, Young-Bae;

Abstract
The spanning column rank of an $\small{m{\times}n}$ 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;
Language
English
Cited by
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