Linear Operators That Preserve Arctic Ranks of Boolean Matrices

Kyung-Tae Kang and Seok-Zun Song
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Kyung-Tae Kang: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea

Mathematics, 2021, vol. 9, issue 10, 1-13

Abstract: We study some properties of arctic rank of Boolean matrices. We compare the arctic rank with Boolean rank and term rank of a given Boolean matrix. Furthermore, we obtain some characterizations of linear operators that preserve arctic rank on Boolean matrix space.

Keywords: decomposition of a Boolean matrix; arctic rank; term rank; linear operator; ( P , Q )-operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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