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On closure axioms for a matroid using Galois connections

Hua Mao ; Department of Mathematics, Hebei University, Baoding 071 002, P.R.China


Puni tekst: engleski pdf 177 Kb

str. 425-432

preuzimanja: 954

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Sažetak

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.

Ključne riječi

Galois connection; matroid; closure operator; context; concept lattice

Hrčak ID:

44034

URI

https://hrcak.srce.hr/44034

Datum izdavanja:

9.12.2009.

Posjeta: 1.576 *