Some new closures on orders

In: Mathematica Slovaca, vol. 61, no. 6

Gábor Czédli

Detaily:

Rok, strany: 2011, 859 - 870

Kľúčové slová:

lattice, order, Galois connection, Galois closure, concept lattice, formal concept analysis

DOI: https://doi.org/10.2478/s12175-011-0053-y

O článku:

For each of the relations "less than or equal to", "less than", "covered by", and "covered by or equal to", we characterize finite orders (also called posets) with the property that the pair of Galois closure operators induced by the relation in question coincides with the pair of closure operators introduced and applied in our previous paper in 2007. We also consider the "less than or equal to" relation between the set of join-irreducible elements and the set of meet-irreducible elements, and we show that the above-mentioned pairs of closure operators coincide for finite modular lattices.

Ako citovať:

ISO 690:

Czédli, G. 2011. Some new closures on orders. In Mathematica Slovaca, vol. 61, no.6, pp. 859-870. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0053-y

APA:

Czédli, G. (2011). Some new closures on orders. Mathematica Slovaca, 61(6), 859-870. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0053-y

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