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Linear operators that preserve column rank of Boolean matrices

Published:1993 Issue:4 Volume:119 Page:1085-1088
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Song Seok-Zun

Abstract

We study the extent to which certain theorems on rank preservers of Boolean matrices carry over to column rank preservers. We characterize the linear operators that preserve the column rank of Boolean matrices.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-04/S0002-9939-1993-1184086-1/S0002-9939-1993-1184086-1.pdf

Reference3 articles.

1. A comparison of nonnegative real ranks and their preservers;Beasley, LeRoy B.;Linear and Multilinear Algebra,1992

2. Semiring rank versus column rank;Beasley, LeRoy B.;Linear Algebra Appl.,1988

3. Boolean-rank-preserving operators and Boolean-rank-1 spaces;Beasley, LeRoy B.;Linear Algebra Appl.,1984

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Term rank preservers of Boolean matrices;Linear and Multilinear Algebra;2012-02

2. Column ranks and their preservers over nonnegative real matrices;Linear Algebra and its Applications;2005-04

3. Zero-term rank preservers∗;Linear and Multilinear Algebra;2001-04

4. Linear operators that preserve column rank of fuzzy matrices;Fuzzy Sets and Systems;1994-03

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