Journal of the
Korean Mathematical Society JKMS

For an $n\times n$ Boolean matrix $A$, $A$ is called $nilpotent$ if $A^m=O$ for some positive integer $m$. We consider the set of $n \times n$ nilpotent Boolean matrices and we characterize linear operators that strongly preserve nilpotent matrices over Boolean algebras.

Keywords: Boolean algebra, nilpotent matrix, constituent, linear operator

MSC numbers: Primary 15A03, 15A04, 15A23