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...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/13076/1/0001.pdf |
| _version_ | 1825720288948518912 |
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| author | Lim, M.H. Tan, S.C. |
| author_facet | Lim, M.H. Tan, S.C. |
| author_sort | Lim, M.H. |
| collection | UM |
| 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. |
| first_indexed | 2024-03-06T05:32:51Z |
| format | Conference or Workshop Item |
| id | um.eprints-13076 |
| institution | Universiti Malaya |
| language | English |
| last_indexed | 2024-03-06T05:32:51Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | 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) |
| spellingShingle | AC Collections. Series. Collected works Lim, M.H. Tan, S.C. Rank one preservers between spaces of boolean matrices |
| title | 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_short | Rank one preservers between spaces of boolean matrices |
| title_sort | rank one preservers between spaces of boolean matrices |
| topic | AC Collections. Series. Collected works |
| url | http://eprints.um.edu.my/13076/1/0001.pdf |
| work_keys_str_mv | AT limmh rankonepreserversbetweenspacesofbooleanmatrices AT tansc rankonepreserversbetweenspacesofbooleanmatrices |