On a singular set for the restriction of the characteristic map to a linear subspace of
Marcin Skrzyński (2004)
Mathematica Slovaca
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Displaying similar documents to “Irreducible algebraic sets of matrices with dominant restriction of the characteristic map”
On a singular set for the restriction of the characteristic map to a linear subspace of
Perimeter preserver of matrices over semifields
Seok-Zun Song, Kyung-Tae Kang, Young Bae Jun (2006)
Czechoslovak Mathematical Journal
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For a rank- matrix , we define the perimeter of as the number of nonzero entries in both and . We characterize the linear operators which preserve the rank and perimeter of rank- matrices over semifields. That is, a linear operator preserves the rank and perimeter of rank- matrices over semifields if and only if it has the form , or with some invertible matrices U and V.
Linear maps preserving rank 2 on the space of alternate matrices and their applications.
Cao, Chongguang, Tang, Xiaomin (2004)
International Journal of Mathematics and Mathematical Sciences
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