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Zero-term rank preservers of integer matrices

100%

Song S.-Z., Jun Y.-B.

Discussiones Mathematicae - General Algebra and Applications

2006

tom 26

nr 2

155-161

The zero-term rank of a matrix is the minimum number of lines (row or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve the zero-term rank of the m × n integer matrices. That is, a linear operator T preserves the zero-term rank if and only if it has the form T(A)=P(A ∘ B)Q, where P, Q are permutation matrices and A ∘ B is the Schur product with B whose entries are all nonzero integers.

Linear operators preserving maximal column ranks of nonbinary boolean matrices

71%

Song S.-Z., Yang S.-D., Hong S.-M., Jun Y.-B., Kim S.-J.

Discussiones Mathematicae - General Algebra and Applications

2000

tom 20

nr 2

255-265

The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

2 Jun Y.-B.

2 Song S.-Z.

1 Hong S.-M.

1 Kim S.-J.

1 Yang S.-D.

1 2006

1 2000

Wyniki wyszukiwania

Zero-term rank preservers of integer matrices

Linear operators preserving maximal column ranks of nonbinary boolean matrices