Rank one preservers between spaces of boolean matrices

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)

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Rank one preserver, Boolean matrix, Boolean vector space, Tensor product
Subjects: A General Works > AC Collections. Series. Collected works
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Mr. Mohd Samsul Ismail
Date Deposited: 23 Mar 2015 01:53
Last Modified: 23 Mar 2015 01:53
URI: http://eprints.um.edu.my/id/eprint/13076

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