# Zero-term rank preservers of integer matrices

Discussiones Mathematicae - General Algebra and Applications (2006)

- Volume: 26, Issue: 2, page 155-161
- ISSN: 1509-9415

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topSeok-Zun Song, and Young-Bae Jun. "Zero-term rank preservers of integer matrices." Discussiones Mathematicae - General Algebra and Applications 26.2 (2006): 155-161. <http://eudml.org/doc/276916>.

@article{Seok2006,

abstract = {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.},

author = {Seok-Zun Song, Young-Bae Jun},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {linear operator; term-rank; zero-term rank; (P,Q,B)-operator; -operator},

language = {eng},

number = {2},

pages = {155-161},

title = {Zero-term rank preservers of integer matrices},

url = {http://eudml.org/doc/276916},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Seok-Zun Song

AU - Young-Bae Jun

TI - Zero-term rank preservers of integer matrices

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2006

VL - 26

IS - 2

SP - 155

EP - 161

AB - 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.

LA - eng

KW - linear operator; term-rank; zero-term rank; (P,Q,B)-operator; -operator

UR - http://eudml.org/doc/276916

ER -

## References

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