Algebraic and geometric representation of matroids
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One of our first examples at the introduction of matroids was the following. Let T be an arbitrary field, V[T] be a vector space over T and S be a set of vectors from this vector space. This set leads to a matroid M = (S, F) as follows: X ⊆ S is independent (denoted by X ∈ F) if and only if the vectors, belonging to X are linearly independent over T.
KeywordsGeometric Representation Arbitrary Field Finite Geometry Parallel Element Matroid Theory
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