Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 1999; 36(6): 1181-1190

Printed November 1, 1999

Copyright © The Korean Mathematical Society.

Linear operators that preserve zero-term rank of Boolean matrices

LeRoy. B. Beasley, Seok-Zun Song, and Sang-Gu Lee

Abstract

Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve zero-term rank of the $m \times n$ matrices over binary Boolean algebra.

Keywords: Boolean linear operator, term-rank, zero-term rank

MSC numbers: Primary 15A03, 15A04

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