Seok-Zun Song, Kyung-Tae Kang, and Mun-Hwan Kang Jeju National University
Abstract : An $m\times n$ Boolean matrix $A$ is called regular if there exists an $n\times m$ Boolean matrix $X$ such that $AXA=A$. We have characterizations of Boolean regular matrices. We also determine the linear operators that strongly preserve Boolean regular matrices.
Keywords : Boolean algebra, generalized inverse of a matrix, regular matrix, $(U,V)$-operator