Maximal Subalgebras of MVn-algebras. A Proof of a Conjecture of A. Monteiro

dc.creatorCignoli, Roberto Leonardo Oscar
dc.creatorMonteiro, Luis
dc.date.accessioned2017-07-03T22:00:53Z
dc.date.accessioned2018-11-06T11:32:28Z
dc.date.available2017-07-03T22:00:53Z
dc.date.available2018-11-06T11:32:28Z
dc.date.created2017-07-03T22:00:53Z
dc.date.issued2006-12
dc.identifierCignoli, Roberto Leonardo Oscar; Monteiro, Luis; Maximal Subalgebras of MVn-algebras. A Proof of a Conjecture of A. Monteiro; Springer; Studia Logica; 84; 3; 12-2006; 393-495
dc.identifier0039-3215
dc.identifierhttp://hdl.handle.net/11336/19434
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1854455
dc.description.abstractFor each integer n ≥ 2, MVn denotes the variety of MV-algebras generated by the MV-chain with n elements. Algebras in MVn are represented as continuous functions from a Boolean space into a n-element chain equipped with the discrete topology. Using these representations, maximal subalgebras of algebras in MVn are characterized, and it is shown that proper subalgebras are intersection of maximal subalgebras. When A ∈ MV3, the mentioned characterization of maximal subalgebras of A can be given in terms of prime filters of the underlying lattice of A, in the form that was conjectured by A. Monteiro.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-006-9020-y
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11225-006-9020-y
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.titleMaximal Subalgebras of MVn-algebras. A Proof of a Conjecture of A. Monteiro
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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