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We present an algebraic framework which simultaneously generalizes the notion of linear subspaces, matroids, valuated matroids, oriented matroids, and regular matroids.
A homotopy theorem for matroids. I, II
W. T. Tutte · 1958
Earlier work this paper cites.
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Steven L. Kleiman and Dan Laksov · 1972
Earlier work this paper cites.
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Earlier work this paper cites.
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Ch. G. Massouros · 1985
Earlier work this paper cites.
Duality theory for finite and infinite matroids with coefficients
Andreas W. M. Dress · 1986
Earlier work this paper cites.
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Robert G. Bland and David L. Jensen · 1987
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Andreas W. M. Dress and Walter Wenzel · 1991
Earlier work this paper cites.
Valuated matroids
Andreas W. M. Dress and Walter Wenzel · 1992
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Perfect matroids
Andreas W.M. Dress and Walter Wenzel · 1992
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James G. Oxley · 1992
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Skew partial fields, multilinear representations of matroids, and a matrix tree theorem
R. A. Pendavingh and S. H. M. van Zwam · 2013
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Zur Izhakian and Louis Rowen · 2010
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