Original scientific paper
On closure axioms for a matroid using Galois connections
Hua Mao
; Department of Mathematics, Hebei University, Baoding 071 002, P.R.China
Abstract
We present two systems of closure axioms for a matroid with the
assistance of Galois connections. These axioms give a
mathematical foundation for the connections between matroids,
Galois connections and concept lattices. We deal with some
relationship between matroids and geometric lattices by the above
axioms. We also discuss some applications between matroids and
concept lattices with the above two closure axioms for a matroid.
Keywords
Galois connection; matroid; closure operator; context; concept lattice
Hrčak ID:
44034
URI
Publication date:
9.12.2009.
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