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Quasiorders, Tolerance Relations and Corresponding “Partitions”

100%

Nowak M.

Bulletin of the Section of Logic

2016

tom 45

nr 2

The paper deals with a generalization of the notion of partition for wider classes of binary relations than equivalences: for quasiorders and tolerance relations. The counterpart of partition for the quasiorders is based on a generalization of the notion of equivalence class while it is shown that such a generalization does not work in case of tolerances. Some results from [5] are proved in a much more simple way. The third kind of “partition” corresponding to tolerances, not occurring in [5], is introduced.

Distributive lattices with a given skeleton

75%

Grygiel J.

Discussiones Mathematicae - General Algebra and Applications

2004

tom 24

nr 1

75-94

We present a construction of finite distributive lattices with a given skeleton. In the case of an H-irreducible skeleton K the construction provides all finite distributive lattices based on K, in particular the minimal one.

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Discussiones Mathematicae - General Algebra and Applications

1 Grygiel J.

1 Nowak M.

1 2016

1 2004

Wyniki wyszukiwania

Quasiorders, Tolerance Relations and Corresponding “Partitions”

Distributive lattices with a given skeleton