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Universal terms for pseudo-complemented distributive lattices and Heyting algebras

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1149)

Keywords

  • Boolean Algebra
  • Distributive Lattice
  • Heyting Algebra
  • NATO Advance Study Institute
  • Universal Term

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References

  1. M. E. Adams, Implicational classes of pseudo-complemented distributive lattices, J. London Math. Soc. (2) 13 (1976), 381–384.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. Balbes and P. Dwinger, Distributive Lattices, Univ. Missouri Press, Columbia, Miss., 1974.

    MATH  Google Scholar 

  3. J. Berman and P. Kohler, Cardinalities of finite distributive lattices, Mitt. Math. Sem. Giessen 121 (1976), 103–124.

    MathSciNet  MATH  Google Scholar 

  4. B. A. Davey and D. Duffus, Exponentiation and duality, Ordered Sets, NATO Advanced Study Institute Series 83, D. Reidel Publishing Co., Dordrecht, Holland, 1982, 43–95.

    CrossRef  Google Scholar 

  5. G. Gentzen, Untersuchungen uber das logische Schliessen, Math. Z., vol. 39 (1934), 176–210.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. G. Gratzer, Lattice Theory: First Concepts and Distributive Lattices, Freeman, San Francisco, California, 1971.

    MATH  Google Scholar 

  7. J. R. Isbell, On the problem of universal terms, Bull. de l’Academie Polonaise des Sciences XIV (1966).

    Google Scholar 

  8. K. B. Lee, Equational classes of distributive pseudo-complemented lattices, Canad. J. Math. 22 (1970), 881–891.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. G. McNulty, Decidable properties of finite sets of equations, Journal Symb. Logic, 41 (1976), 589–604.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. J. Mycielski, Can one solve equations in groups?, Amer. Math. Monthly 84 (1977), 723–726.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. I. Nishimura, On formulas of one variable in intuitionistic propositional calculus, J. Symbolic Logic 25(1960), 327–331.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. O. Ore, Some remarks on commutators, Proc. Amer. Math. Soc. 2 (1951), 307–314.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. D. Pigozzi, The universality of the variety of quasigroups, Journal Australian Math. Soc. (Series A), XXI (1976), 194–219.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. H. A. Priestley, Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc. 2(1970), 186–190.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. H. A. Priestley, Ordered sets and duality for distributive lattices, Proc. Conf on Ordered Sets and their Applications, Lyon, 1982, North Holland Series Ann. Discrete Math.

    Google Scholar 

  16. D. M. Silberger, When is a term point universal?, Algebra Universalis, 10 (1980), 135–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. A. Urquhart, Free distributive pseudo-complemented lattices, Algebra Univeralis 3(1973), 13–15.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. A. Urquhart, Free Heyting algebras, Algebra Universalis 3(1973) 94–97.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1985 Springer-Verlag

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Adams, M.E., Clark, D.M. (1985). Universal terms for pseudo-complemented distributive lattices and Heyting algebras. In: Comer, S.D. (eds) Universal Algebra and Lattice Theory. Lecture Notes in Mathematics, vol 1149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098451

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  • DOI: https://doi.org/10.1007/BFb0098451

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15691-8

  • Online ISBN: 978-3-540-39638-3

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