BOOLEAN REGULAR MATRICES AND THEIR STRONGLY PRESERVERS

Seok-Zun Song, Kyung-Tae Kang, Mun-Hwan Kang · Bulletin of the Korean Mathematical Society · 2009

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.

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