LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX SUMS OVER SEMIRINGS

Title & Authors
LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX SUMS OVER SEMIRINGS
Song, Seok-Zun;

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 pairs which satisfy additive properties with respect to spanning column rank of matrices over semirings.
Keywords
spanning column rank;(P,Q,B)-operator;(U,V)-operator;rank inequality;
Language
English
Cited by
1.
LINEAR PRESERVERS OF SPANNING COLUMN RANK OF MATRIX PRODUCTS OVER SEMIRINGS,;;;

대한수학회지, 2008. vol.45. 4, pp.1043-1056
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