Volume 34 • Number 1 • 2011   • Linear Preservers of Regular Matrices over General Boolean Algebras Kyung-Tae Kang, Seok-Zun Song, Seong-Hee Heo and Young-Bae Jun Abstract. An \(n\times n\) matrix \(A\) over a general Boolean algebra \(\mathbb B _k\) is called regular if there exists an \(n\times n\) matrix \(G\) over \(\mathbb B _k\) 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. 2010 Mathematics Subject Classification: 15A86, 15A09, 15B34. Full text: PDF