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Algebra i logika, 2008, Volume 47, Number 3, Pages 307–334 (Mi al361)  
This article is cited in 3 scientific papers (total in 3 papers)

The Beth property and interpolation in lattice-based algebras and logics

L. L. Maksimovaab, E. Orlowskac

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
c National Institute of Telecommunications
Full-text PDF (267 kB) Citations (3)
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Abstract: We deal with logics based on lattices with an additional unary operation. Interrelations of different versions of interpolation, the Beth property, and amalgamation, as they bear on modal logics and varieties of modal algebras, superintuitionistic logics and varieties of Heyting algebras, positive logics and varieties of implicative lattices, have been studied in many works. Sometimes these relations can and sometimes cannot be extended to the logics without implication considered in the paper.
Keywords: Beth property, interpolation, logic without implication.
Received: 02.04.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 3, Pages 176–192
DOI: https://doi.org/10.1007/s10469-008-9012-2
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: L. L. Maksimova, E. Orlowska, “The Beth property and interpolation in lattice-based algebras and logics”, Algebra Logika, 47:3 (2008), 307–334; Algebra and Logic, 47:3 (2008), 176–192
Citation in format AMSBIB
\Bibitem{MakOrl08}
\by L.~L.~Maksimova, E.~Orlowska
\paper The Beth property and interpolation in lattice-based algebras and logics
\jour Algebra Logika
\yr 2008
\vol 47
\issue 3
\pages 307--334
\mathnet{http://mi.mathnet.ru/al361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2450886}
\zmath{https://zbmath.org/?q=an:1164.03320}
\transl
\jour Algebra and Logic
\yr 2008
\vol 47
\issue 3
\pages 176--192
\crossref{https://doi.org/10.1007/s10469-008-9012-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249085246}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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