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Displaying similar documents to “Inequalities for lattice constrained planar convex sets.”

Inequalities for convex sets.

Scott, Paul R., Awyong, Poh Wah (2000)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Complete systems of inequalities.

Hernández Cifre, María A., Salinas, Guillermo, Segura Gomis, Salvador (2001)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Lattice points in Minkowski sums.

Haase, Christian, Nill, Benjamin, Paffenholz, Andreas, Santos, Francisco (2008)

The Electronic Journal of Combinatorics [electronic only]

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Classification systems and their lattice

Sándor Radeleczki (2002)

Discussiones Mathematicae - General Algebra and Applications

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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...