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
Main Authors:	Kyung-Tae Kang, Seok-Zun Song
Format:	Article
Language:	English
Published:	MDPI AG 2021-05-01
Series:	Mathematics
Subjects:	decomposition of a Boolean matrix arctic rank term rank linear operator (<i>P</i>,<i>Q</i>)-operator
Online Access:	https://www.mdpi.com/2227-7390/9/10/1087

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spelling	doaj-fbe0c76c18f54984b914021a70abea432021-05-31T23:47:02ZengMDPI AGMathematics2227-73902021-05-0191087108710.3390/math9101087Linear Operators That Preserve Arctic Ranks of Boolean MatricesKyung-Tae Kang0Seok-Zun Song1Department of Mathematics, Jeju National University, Jeju 63243, KoreaDepartment of Mathematics, Jeju National University, Jeju 63243, KoreaWe 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.https://www.mdpi.com/2227-7390/9/10/1087decomposition of a Boolean matrixarctic rankterm ranklinear operator(<i>P</i>,<i>Q</i>)-operator
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kyung-Tae Kang Seok-Zun Song
spellingShingle	Kyung-Tae Kang Seok-Zun Song Linear Operators That Preserve Arctic Ranks of Boolean Matrices Mathematics decomposition of a Boolean matrix arctic rank term rank linear operator (<i>P</i>,<i>Q</i>)-operator
author_facet	Kyung-Tae Kang Seok-Zun Song
author_sort	Kyung-Tae Kang
title	Linear Operators That Preserve Arctic Ranks of Boolean Matrices
title_short	Linear Operators That Preserve Arctic Ranks of Boolean Matrices
title_full	Linear Operators That Preserve Arctic Ranks of Boolean Matrices
title_fullStr	Linear Operators That Preserve Arctic Ranks of Boolean Matrices
title_full_unstemmed	Linear Operators That Preserve Arctic Ranks of Boolean Matrices
title_sort	linear operators that preserve arctic ranks of boolean matrices
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2021-05-01
description	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.
topic	decomposition of a Boolean matrix arctic rank term rank linear operator (<i>P</i>,<i>Q</i>)-operator
url	https://www.mdpi.com/2227-7390/9/10/1087
work_keys_str_mv	AT kyungtaekang linearoperatorsthatpreservearcticranksofbooleanmatrices AT seokzunsong linearoperatorsthatpreservearcticranksofbooleanmatrices
_version_	1721416678166757376

Linear Operators That Preserve Arctic Ranks of Boolean Matrices

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