@article{library_repository284,
          number = {430},
           title = {Preservers of pairs of bivectors with bounded distance},
          author = {Ming-Huat  Lim and Joshua Juat-Huan  Tan},
       publisher = {Elsevier},
            year = {2009},
           pages = {564--573},
         journal = {Linear Algebra and its Applications},
        keywords = {Adjacency preserving mappings ; Second exterior powers ; Arithmetic distance ; Alternate matrices},
             url = {https://library.oum.edu.my/repository/284/},
        abstract = {We extend Liu's fundamental theorem of the geometry of alternate
matrices to the second exterior power of an infinite dimensional
vector space and also use her theorem to characterize surjective
mappings T from the vector space V of all n x n alternate matrices
over a field with at least three elements onto itself such that for any
pair A,B in V,rank(A - B) {\ensuremath{<}}= 2k if and only if rank(T(A) - T(B)) {\ensuremath{<}}=2k,
where k is a fixed positive integer such that n {\ensuremath{>}}= 2k + 2 and k {\ensuremath{>}}= 2. (Authors' abstract)}
}