JOURNAL ARTICLE
Linear Operators That Preserve Column Rank of Boolean Matrices
Year: 1993 Journal: Proceedings of the American Mathematical Society Vol: 119 (4)Pages: 1085-1085 Publisher: American Mathematical Society
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.We let Mm tne set °f linear combinations of elements in S.
Keywords:
Rank (graph theory) Column (typography) Mathematics Boolean function Complete Boolean algebra Two-element Boolean algebra Combinatorics Algebra over a field Pure mathematics
Metrics
1
Cited By
0.00
FWCI (Field Weighted Citation Impact)
1
Refs
0.51
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Matrix Theory and Algorithms
Physical Sciences → Computer Science → Computational Theory and Mathematics
Related Documents
JOURNAL ARTICLE
Linear operators that preserve column rank of Boolean matrices
Journal: Proceedings of the American Mathematical Society Year: 1993 Vol: 119 (4)Pages: 1085-1088
JOURNAL ARTICLE
Linear operators that preserve Boolean rank of Boolean matrices
Journal: Czechoslovak Mathematical Journal Year: 2013 Vol: 63 (2)Pages: 435-440
JOURNAL ARTICLE
Linear operators that preserve maximal column rank of boolean matrices*
Suk-Geun HwangSi-Ju KimSeok-Zun Song
Journal: Linear and Multilinear Algebra Year: 1994 Vol: 36 (4)Pages: 305-313
JOURNAL ARTICLE
Linear operators that preserve column rank of fuzzy matrices
Journal: Fuzzy Sets and Systems Year: 1994 Vol: 62 (3)Pages: 311-317
JOURNAL ARTICLE
LINEAR OPERATORS THAT PRESERVE PERIMETERS OF BOOLEAN MATRICES
Seok-Zun SongKyung‐Tae KangHang-Kyun Shin
Journal: Bulletin of the Korean Mathematical Society Year: 2008 Vol: 45 (2)Pages: 355-363