Characterizations of Term-Rank Preservers over Boolean Matrices

In this paper we obtain some characterizations of linear operators that preserve term rank of Boolean matrices. With certain conditions, we prove that for a linear operator ... on the Boolean matrix space, ... preserves term rank if and only if ... preserves two consecutive term ranks if and only if...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 35; no. 2
Main Authors Kang, KyungTae, Song, SeokZun
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2012
Subjects
Mathematics
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ISSN0126-6705
2180-4206

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Summary:In this paper we obtain some characterizations of linear operators that preserve term rank of Boolean matrices. With certain conditions, we prove that for a linear operator ... on the Boolean matrix space, ... preserves term rank if and only if ... preserves two consecutive term ranks if and only if ... strongly preserves just one term rank. 2010 Mathematics Subject Classification: 15A86, 15A03, 15A33. (ProQuest: ... denotes formulae omitted.)
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ISSN:0126-6705
2180-4206