EXTREME SETS OF RANK INEQUALITIES OVER BOOLEAN MATRICES AND THEIR PRESERVERS

被引：2

作者：

Song, Seok Zun ^{[1
]}

Kang, Mun-Hwan ^{[1
]}

Jun, Young Bae ^{[2
,3
]}

机构：

[1] Jeju Natl Univ, Dept Math, Jeju 690756, South Korea

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 28卷 / 01期

关键词：

linear operator; Boolean rank inequality; (P; Q; B)-operator; non-binary Boolean algebra;

D O I：

10.4134/CKMS.2013.28.1.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the sets of matrix ordered pairs which satisfy extremal properties with respect to Boolean rank inequalities of matrices over nonbinary Boolean algebra. We characterize linear operators that preserve these sets of matrix ordered pairs as the form of T(X) = PXPT with some permutation matrix P.

引用

页码：1 / 9

页数：9

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