EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING

Title & Authors
EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING
Beasley, LeRoy B.; Heo, Seong-Hee; Song, Seok-Zun;

Abstract
The term rank of a matrix A over a semiring $\small{\mathcal{S}}$ is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we characterize linear operators that preserve the sets of matrix ordered pairs which satisfy extremal properties with respect to term rank inequalities of matrices over nonbinary Boolean semirings.
Keywords
term rank;linear operator;nonbinary Boolean semiring;
Language
English
Cited by
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