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Independent axiom systems for nearlattices

dc.contributor.authorAraújo, João
dc.contributor.authorKinyon, Michael
dc.date.accessioned2015-03-23T14:06:15Z
dc.date.available2015-03-23T14:06:15Z
dc.date.issued2011
dc.description.abstractA nearlattice is a join semilattice such that every principal filter is a lattice with respect to the induced order. Hickman and later Chajda et al independently showed that nearlattices can be treated as varieties of algebras with a ternary operation satisfying certain axioms. Our main result is that the variety of nearlattices is 2-based, and we exhibit an explicit system of two independent identities. We also show that the original axiom systems of Hickman as well as that of Chajda et al are dependent.por
dc.identifier.citationAraújo, João; Kinyon, Michael - Independent axiom systems for nearlattices. "Czechoslovak Mathematical Journal" [Em linha]. ISSN 0011-4642 (Print) 1572-9141 (Online). Vol. 61, nº 4 (Dez. 2011), p. 1-16por
dc.identifier.issn0011-4642
dc.identifier.issn1572-9141
dc.identifier.urihttp://hdl.handle.net/10400.2/3793
dc.language.isoengpor
dc.peerreviewedyespor
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s10587-011-0062-6por
dc.subjectNearlatticepor
dc.subjectEquational basepor
dc.titleIndependent axiom systems for nearlatticespor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage16por
oaire.citation.startPage1por
oaire.citation.titleCzechoslovak Mathematical Journalpor
person.familyNameRibeiro Soares Gonçalves de Araújo
person.familyNameKinyon
person.givenNameJoão Jorge
person.givenNameMichael Kinyon
person.identifier.ciencia-idEC1F-273A-9F24
person.identifier.ciencia-id2A10-E0DD-5A23
person.identifier.orcid0000-0001-6655-2172
person.identifier.orcid0000-0002-5227-8632
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication1f7b349c-3251-480d-a3ac-e3cb4ef44f22
relation.isAuthorOfPublication0379041c-7e5e-4875-9f98-801efefa6330
relation.isAuthorOfPublication.latestForDiscovery1f7b349c-3251-480d-a3ac-e3cb4ef44f22

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