Title of article :
Linear Preservers of Regular Matrices over General Boolean Algebras
Author/Authors :
Kang, Kyung-Tae Jeju National University - Department of Mathematics (and RIBS), Korea , Song, Seok-Zun Jeju National University - Department of Mathematics (and RIBS), Korea , Heo, Seong-Hee Jeju National University - Department of Mathematics (and RIBS), Korea , Jun, Young-Bae Gyeongsang National University - Department of Mathematics Education (and RINS), Korea
Abstract :
An n×n matrix A over a general Boolean algebra Bk is called regular if there exists an n×n matrix G over Bk 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.
Keywords :
Boolean algebra , constituent , generalized inverse of a matrix , regular matrix , (U , V ) , operator
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
