Document Type
Conference Item
Publication Date
5-1-2011
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.
Keywords
Rank one preserver, Boolean matrix, Boolean vector space, Tensor product
Divisions
MathematicalSciences
Event Title
7th Shanghai Conference on Combinatorics
Event Location
Shanghai, China
Event Dates
24-28 May 2011
Event Type
conference
COinS