Journal
MATHEMATICA SLOVACA
Volume 63, Issue 5, Pages 959-978Publisher
WALTER DE GRUYTER GMBH
DOI: 10.2478/s12175-013-0147-9
Keywords
partitions; partial partitions; complete lattice; closure operator; closure system
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Funding
- Agence Nationale de la Recherche [ANR-2010-BLAN-0205-01]
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Jordens and Sturm investigated the link between closure systems on sets and closure systems on partitions. We extend that study to the wider framework of partial partitions, and highlight better the relation between these two families of closure systems. Then we consider the construction of a closure operator on partial partitions by the iterated application a set operator to the blocks of a partial partition; the resulting closure system fits into our framework. (C) 2013 Mathematical Institute Slovak Academy of Sciences
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