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Algebra i logika, 2010, Volume 49, Number 3, Pages 346–365 (Mi al443)  
This article is cited in 3 scientific papers (total in 3 papers)

Simple weakly transitive modal algebras

A. V. Karpenkoa, L. L. Maksimovaba

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (235 kB) Citations (3)
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Abstract: Weakly transitive modal algebras are studied. It is proved that the class of simple weakly transitive algebras coincides with the class of simple $DL$-algebras. A full description is given for finitely generated simple $DL$-algebras together with their embeddings. As a consequence, it is shown that the varieties of weakly transitive algebras and of $DL$-algebras are not weakly amalgamable, and that modal logics $wK4$ and $DL$ do not possess the weak interpolation property.
Keywords: weakly transitive modal algebra, $DL$-algebra, weakly amalgamable variety, weak interpolation property.
Received: 07.04.2009
Revised: 01.09.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 3, Pages 233–245
DOI: https://doi.org/10.1007/s10469-010-9092-7
Bibliographic databases:
Document Type: Article
UDC: 512.563+510.6+510.5
Language: Russian
Citation: A. V. Karpenko, L. L. Maksimova, “Simple weakly transitive modal algebras”, Algebra Logika, 49:3 (2010), 346–365; Algebra and Logic, 49:3 (2010), 233–245
Citation in format AMSBIB
\Bibitem{KarMak10}
\by A.~V.~Karpenko, L.~L.~Maksimova
\paper Simple weakly transitive modal algebras
\jour Algebra Logika
\yr 2010
\vol 49
\issue 3
\pages 346--365
\mathnet{http://mi.mathnet.ru/al443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2766393}
\zmath{https://zbmath.org/?q=an:1255.03060}
\transl
\jour Algebra and Logic
\yr 2010
\vol 49
\issue 3
\pages 233--245
\crossref{https://doi.org/10.1007/s10469-010-9092-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955662750}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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