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math.CO2008★ 38 cited
Confinement of matroid representations to subsets of partial fields
R. A. Pendavingh, S. H. M. van Zwam
Let M be a matroid representable over a (partial) field P and B a matrix representable over a sub-partial field P' of P. We say that B confines M to P' if, whenever a P-representat…
math.CO2008★ 21 cited
Lifts of matroid representations over partial fields
R. A. Pendavingh, S. H. M. van Zwam
There exist several theorems which state that when a matroid is representable over distinct fields F_1,...,F_k, it is also representable over other fields. We prove a theorem, the…