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

- Journal title : Kyungpook mathematical journal
- Volume 53, Issue 2, 2013, pp.273-283
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2013.53.2.273

Title & Authors

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

Song, Seok-Zun; Jun, Young-Bae;

Song, Seok-Zun; Jun, Young-Bae;

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;

Language

English

References

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