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Classification systems and their lattice

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Radeleczki S.

Discussiones Mathematicae - General Algebra and Applications

2002

tom 22

nr 2

167-181

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 and Cls(L) is a partition lattice.

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1 Discussiones Mathematicae - General Algebra and Applications

1 Radeleczki S.

1 2002

Wyniki wyszukiwania

Classification systems and their lattice