Reference : Column-partitioned matrices over rings without invertible transversal submatrices
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/3227
Column-partitioned matrices over rings without invertible transversal submatrices
English
Foldes, Stephan mailto [Tampere University of Technology]
Lehtonen, Erkko mailto [Tampere University of Technology]
2010
Ars Combinatoria
The Charles Babbage Research Centre
97
33-39
Yes
International
0381-7032
Winnipeg
Canada
[en] Let the columns of a p×q matrix M over any ring be partitioned into n blocks, M = [M1,...,Mn]. If no p×p submatrix of M with columns from distinct blocks Mi is invertible, then there is an invertible p×p matrix Q and a positive integer m ≤ p such that QM = [QM1,...,QMn] is in reduced echelon form and in all but at most m - 1 blocks QMi the last m entries of each column are either all zero or they include a non-zero non-unit.
http://hdl.handle.net/10993/3227
http://www.combinatorialmath.ca/arscombinatoria/

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