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Rank one preservers between spaces of boolean matrices

In this paper. we characterize (i) linear transformations from one space of Boolean matrices to another that send pairs of distinct rank one elements to pairs of distinct rank one elements and (ii) subjective mappings from one space of Boolean matrices to another that send rank one matrices to rank...

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Main Authors: Lim, M.H., Tan, S.C.
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
AC Collections. Series. Collected works
Online Access:http://eprints.um.edu.my/13076/1/0001.pdf
http://eprints.um.edu.my/13076/
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id my.um.eprints.13076
record_format eprints
spelling my.um.eprints.130762015-03-23T01:53:22Z http://eprints.um.edu.my/13076/ Rank one preservers between spaces of boolean matrices Lim, M.H. Tan, S.C. AC Collections. Series. Collected works In this paper. we characterize (i) linear transformations from one space of Boolean matrices to another that send pairs of distinct rank one elements to pairs of distinct rank one elements and (ii) subjective mappings from one space of Boolean matrices to another that send rank one matrices to rank one matrices and preserve order relation in both directions. Both results are proved in a more general setting of tensor products of two Boolean vector spaces of arbitrary dimension. 2011-05 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.um.edu.my/13076/1/0001.pdf Lim, M.H. and Tan, S.C. (2011) Rank one preservers between spaces of boolean matrices. In: 7th Shanghai Conference on Combinatorics, 24-28 May 2011, Shanghai, China. (Submitted)
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
language English
topic AC Collections. Series. Collected works
spellingShingle AC Collections. Series. Collected works
Lim, M.H.
Tan, S.C.
Rank one preservers between spaces of boolean matrices
description In this paper. we characterize (i) linear transformations from one space of Boolean matrices to another that send pairs of distinct rank one elements to pairs of distinct rank one elements and (ii) subjective mappings from one space of Boolean matrices to another that send rank one matrices to rank one matrices and preserve order relation in both directions. Both results are proved in a more general setting of tensor products of two Boolean vector spaces of arbitrary dimension.
format Conference or Workshop Item
author Lim, M.H.
Tan, S.C.
author_facet Lim, M.H.
Tan, S.C.
author_sort Lim, M.H.
title Rank one preservers between spaces of boolean matrices
title_short Rank one preservers between spaces of boolean matrices
title_full Rank one preservers between spaces of boolean matrices
title_fullStr Rank one preservers between spaces of boolean matrices
title_full_unstemmed Rank one preservers between spaces of boolean matrices
title_sort rank one preservers between spaces of boolean matrices
publishDate 2011
url http://eprints.um.edu.my/13076/1/0001.pdf
http://eprints.um.edu.my/13076/
_version_ 1643689455736848384
score 13.164666

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