On Some Generalizations of the Concept of Partition |
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Authors: | Marek Nowak |
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Affiliation: | 1. Department of Logic, University of Lodz, Kopcińskiego 16/18, 90-232, Lodz, Poland
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Abstract: | There are well-known isomorphisms between the complete lattice of all partitions of a given set A and the lattice of all equivalence relations on A. In the paper the notion of partition is generalized in order to work correctly for wider classes of binary relations than equivalence ones such as quasiorders or tolerance relations. Some others classes of binary relations and corresponding counterparts of partitions are considered. |
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