algebra universalis

, Volume 11, Issue 1, pp 285–294 | Cite as

The lattice of varieties of modal algebras is not strongly atomic

  • W. J. Blok
Article
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Accepted:

Keywords

Boolean Algebra Congruence Relation Modal Algebra Finite Algebra Irreducible Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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    W. J. Blok,The lattice of modal logics: an algebraic investigation, to appear in the J.S.L.Google Scholar
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    W. J. Blok,Varieties of interior algebras, dissertation, University of Amsterdam, 1976.Google Scholar
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    G. Grätzer,Universal algebra, Van Nostrand, Princeton, 1968.MATHGoogle Scholar
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    B. Jónsson,Algebras whose congruence lattices are distributive, Math. Scand.21 (1967), 110–121.MATHMathSciNetGoogle Scholar
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    B. Jónsson andA. Tarski,Boolean algebras with operators, Part I, American Journal of Mathematics73 (1951), 891–939.MATHMathSciNetCrossRefGoogle Scholar
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    R. McKenzie,Equational bases and non-modular lattice varieties, Trans. Amer. Math. Soc.174 (1972), 1–43.MathSciNetCrossRefGoogle Scholar
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    W. Rautenberg,The lattice of normal modal logics, Math. Zeitschrift156 (1977), 123–140.MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Birkhäuser Verlag 1980

Authors and Affiliations

  • W. J. Blok
    • 1
  1. 1.Universiteit van AmsterdamAmsterdamThe Netherlands

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