[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2013.53.2.273

Sets of Integer Matrix Pairs Derived from Row Rank Inequalities and Their Preservers

Song, Seok-Zun (Department of Mathematics, Jeju National University)
Jun, Young-Bae (Department of Mathematics, Gyeongsang National University)

Publication Information

Kyungpook Mathematical Journal / v.53, no.2, 2013 , pp. 273-283 More about this Journal

Abstract

In this paper, we consider the row rank inequalities derived from comparisons of the row ranks of the additions and multiplications of nonnegative integer matrices and construct the sets of nonnegative integer matrix pairs which is occurred at the extreme cases for the row rank inequalities. We characterize the linear operators that preserve these extreme sets of nonnegative integer matrix pairs.

Keywords

semiring; linear operator; row rank; (P,Q)-operator;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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