Lim, Ming-Huat and Tan, Joshua Juat-Huan
(2009)
*Preservers of pairs of bivectors with bounded distance.*
Linear Algebra and its Applications (430).
pp. 564-573.
ISSN 0024-3795

## 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) <= 2k if and only if rank(T(A) - T(B)) <=2k, where k is a fixed positive integer such that n >= 2k + 2 and k >= 2. (Authors' abstract)

Item Type: | Article |
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Uncontrolled Keywords: | Adjacency preserving mappings ; Second exterior powers ; Arithmetic distance ; Alternate matrices |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Depositing User: | Shahril Effendi Ibrahim |

Date Deposited: | 29 Oct 2009 08:38 |

Last Modified: | 27 May 2013 05:48 |

URI: | http://library.oum.edu.my/repository/id/eprint/284 |

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