Linear Preservers of Regular Matrices over General Boolean Algebras

被引：0

作者：

Kang, Kyung-Tae ^{[1
,2
]}

Song, Seok-Zun ^{[1
,2
]}

Heo, Seong-Hee ^{[1
,2
]}

Jun, Young-Bae ^{[3
,4
]}

机构：

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

[2] Cheju Natl Univ, RIBS, Cheju 690756, South Korea

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

[4] Gyeongsang Natl Univ, RJNS, Chinju 660701, South Korea

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2011年 / 34卷 / 01期

关键词：

Boolean algebra; constituent; generalized inverse of a matrix; regular matrix; (U; V)-operator; INVERSES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An n x n matrix A over a general Boolean algebra B(k) is called regular if there exists an n x n matrix C over B(k) such that AGA = A. We study some properties of regular matrices over general Boolean algebras. We also determine the linear operators that strongly preserve regular matrices over general Boolean algebras.

引用

页码：113 / 125

页数：13

共 10 条

[1] BOOLEAN-RANK-PRESERVING OPERATORS AND BOOLEAN-RANK-1 SPACES
BEASLEY, LB
PULLMAN, NJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1984, 59 (JUN) : 55 - 77
[2] DENES J, 1976, TRANSFORMATIONS TRAN
[3] Kim K. H., 1982, MONOGRAPHS TXB PURE, V70
[4] Kirkland S, 1993, LINEAR MULTILINEAR A, V33, P295
[5] A NOTE ON BOOLEAN MATRIX THEORY
LUCE, RD
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (03) : 382 - 388
[6] MOORE EH, 1935, MEM AM PHIL SOC, V1
[7] GENERALIZED INVERSES OF BOOLEAN RELATION MATRICES
PLEMMONS, RJ
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (03) : 426 - &
[8] RAO PSSNVP, 1975, LINEAR ALGEBRA APPL, V11, P135
[9] Rutherford D. E., 1963, P GLASGOW MATH ASS, V6, P49
[10] Song SZ, 2006, J KOREAN MATH SOC, V43, P77

← 1 →