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dc.contributor.authorKwuida, Léonarden
dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorTepavčević, Andrejaen
dc.date.accessioned2020-04-12T18:10:41Z-
dc.date.available2020-04-12T18:10:41Z-
dc.date.issued2007-01-01en
dc.identifier.isbn978-3-540-70901-5en
dc.identifier.issn0302-9743en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/413-
dc.description.abstractThe MacNeille completion of a poset (P, ≤) is the smallest (up to isomorphism) complete poset containing (P, ≤) that preserves existing joins and existing meets. It is wellknown that the MacNeille completion of a Boolean algebra is a Boolean algebra. It is also wellknown that the MacNeille completion of a distributive lattice is not always a distributive lattice (see [Fu44]). The MacNeille completion even seems to destroy many properties of the initial lattice (see [Ha93]). Weakly dicomplemented lattices are bounded lattices equipped with two unary operations satisfying the equations (1) to (3') of Theorem 3. They generalise Boolean algebras (see [Kw04]). The main result of this contribution states that under chain conditions the MacNeille completion of a weakly dicomplemented lattice is a weakly dicomplemented lattice. The needed definitions are given in subsections 1.2 and 1.3.en
dc.publisherSpringer Link-
dc.relation.ispartofLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)en
dc.subjectFormal concept analysis | MacNeille completion | Weakly dicomplemneted latticesen
dc.titleOn the MacNeille completion of weakly dicomplemented latticesen
dc.typeArticleen
dc.relation.conference5th International Conference on Formal Concept Analysis, ICFCA 2007; Clermont-Ferrand; France; 12 February 2007 through 16 February 2007-
dc.identifier.doi10.1007/978-3-540-70901-5_17-
dc.identifier.scopus2-s2.0-38049033845en
dc.relation.firstpage271en
dc.relation.lastpage280en
dc.relation.volume4390 LNAIen
dc.description.rankM23-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.orcid0000-0002-5716-604X-
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