Chooi, W. L. and Lim, M. H.
(2001)
*Rank-one nonincreasing mappings on triangular matrices and some related preserver problems.*
Linear and Multilinear Algebra, 49 (4).
pp. 305-336.
ISSN 0308-1087

Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...

## Abstract

Let T-n(F) be the algebra of all n x n upper triangular matrices over an arbitrary field F. We first characterize those rank-one nonincreasing mappings psi: T-n(F) --> T-m(F), n less than or equal to m such that psi (I-n) is of rank n. We next deduce from this result certain types of singular rank-one r-potent preservers and nonzero r-potent preservers on T-n(F). Characterizations of certain classes of homomorphisms and semi-homomorphisms on T-n(F) are also given.

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Engineering (FOE) |

Depositing User: | Ms Rosnani Abd Wahab |

Date Deposited: | 09 Sep 2011 02:45 |

Last Modified: | 11 Nov 2013 05:03 |

URI: | http://shdl.mmu.edu.my/id/eprint/2703 |

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