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Linear operators that preserve maximal column ranks of nonnegative integer matrices
Author(s):
Seok-zun
Song
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2205-2211.
MSC (1991):
Primary 15A36, 15A03, 15A04
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Abstract:
The maximal column rank of an  by  matrix over a semiring is the maximal number of the columns of  which are linearly independent. We characterize the linear operators which preserve the maximal column ranks of nonnegative integer matrices.
References:
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- L.B.Beasley and N.J.Pullman, Boolean rank-preserving operators and Boolean rank-1 spaces, Linear Algebra Appl. 59 (1984), 55-77. MR 85i:15004
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Additional Information:
Seok-zun
Song
Affiliation:
Department of Mathematics, Cheju National University, Cheju 690-756, Republic of Korea
Email:
szsong@cheju.cheju.ac.kr
DOI:
10.1090/S0002-9939-98-04308-1
PII:
S 0002-9939(98)04308-1
Keywords:
Maximal column rank,
linear operator
Received by editor(s):
June 4, 1996
Received by editor(s) in revised form:
January 6, 1997
Additional Notes:
The author wishes to acknowledge the financial support of the Korea Research Foundation made in the program year of 1997
Communicated by:
Lance W. Small
Copyright of article:
Copyright
1998,
American Mathematical Society
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