Linear Operators That Preserve Arctic Ranks of Boolean Matrices

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.

Bibliographic Details
Published in:Mathematics
Main Authors: Kyung-Tae Kang, Seok-Zun Song
Format: Text
Language:English
Published: Multidisciplinary Digital Publishing Institute 2021
Subjects:
decomposition of a Boolean matrix
arctic rank
term rank
linear operator
( P
Q )-operator
Arctic
Online Access:https://doi.org/10.3390/math9101087
Description
Summary: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.

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