JP Journal of Algebra, Number Theory and Applications
Volume 5, Issue 3, Pages 547 - 559
(December 2005)
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LINEAR MAPS PRESERVING INVERSES OF MATRICES OVER FIELDS
Changjiang Bu (P. R. China) and Danhong Wang (P. R. China)
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Abstract: Let F be a field with at least four elements and Mn(F)be the n ? nfull matrix algebra over F. In this paper, we determine the forms of linear maps from Mn(F)to Mn(F)preserving inverses of matrices. |
Keywords and phrases: field, linear map, linear preserver. |
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