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Exponents of lattice-ordered algebras

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References

  1. K. A. Baker andA. F. Pixley,Polynomial interpolation and the Chinese remainder theorem for algebraic systems, Math. Z.143 (1975), 165–174.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Balbes,Projective and injective distributive lattices, Pacific J. Math.21 (1967), 405–420.

    MATH  MathSciNet  Google Scholar 

  3. B. Banaschewski andG. Bruns,Categorical characterization of the MacNeille completion, Arch. Math.18 (1967), 369–377.

    Article  MATH  MathSciNet  Google Scholar 

  4. G. Birkhoff,Rings of sets, Duke Math. J.3 (1937), 443–454.

    Article  MATH  MathSciNet  Google Scholar 

  5. W. H. Cornish,Ordered topological spaces and the coproduct of bounded distributive lattices, Coll. Math.36 (1976), 27–35.

    MATH  MathSciNet  Google Scholar 

  6. B. A. Davey,Free products of bounded distributive lattices, Algebra Univ.4 (1974), 106–107.

    MATH  MathSciNet  Google Scholar 

  7. B. A. Davey,Weak injectivity and congruence extension in congruence-distributive equational classes, Canad. J. Math.24 (1977), 449–459.

    MathSciNet  Google Scholar 

  8. B. A. Davey,Topological duality for prevarieties of universal algebras, in “Studies in foundations and combinatorics” (G.-C. Rota, ed.), Advances in Math. Supplementary Studies, Vol. 1, (Academic Press, New York, 1978), pp. 61–99.

    Google Scholar 

  9. B. A. Davey, D. Duffus, R. W. Quackenbush andI. Rival,Exponents of finite simple lattices, J. London Math. Soc.17 (1978), 203–211.

    MATH  MathSciNet  Google Scholar 

  10. D. Duffus, B. Jónsson andI. Rival,Structure results for function lattices, Canad. J. Math.,30 (1978), 392–400.

    MATH  MathSciNet  Google Scholar 

  11. P. Freyd,Algebra valued functors in general and tensor products in particular, Coll. Math.14 (1966), 89–106.

    MATH  MathSciNet  Google Scholar 

  12. B. Jónsson,Algebras whose congruence lattices are distributive, Math. Scand.21 (1967), 110–121.

    MATH  MathSciNet  Google Scholar 

  13. M. Kamara andD. Schweigert,Eine Charakterisierung polynomvollständiger Polaritätsverbände, Arch. Math.30 (1978), 661–664.

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  15. H. A. Priestley,Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. (3)24 (1972), 507–530.

    MATH  MathSciNet  Google Scholar 

  16. R. W. Quackenbush,Pseudovarieties of finite algebras isomorphic to finite bounded distributive lattices, Discrete Math.28 (1979), 189–192.

    Article  MATH  MathSciNet  Google Scholar 

  17. D. Schweigert,Über endliche, ordnungspolynomvollständige Verbände, Arch. Math.28 (1977), 557–560.

    Article  MathSciNet  Google Scholar 

  18. D. Schweigert,Affine complete ortholattices, Proc. Amer. Math. Soc.67 (1977), 198–200.

    Article  MathSciNet  Google Scholar 

  19. R. Wille,Eine Charakterisierung endlicher, ordnungspolynomvollständiger Verbände, Arch. Math.28 (1977), 557–560.

    Article  MATH  MathSciNet  Google Scholar 

  20. R. Wille,A note on algebraic operations and algebraic functions on finite lattices, Houston J. Math.3 (1977) 593–597.

    MATH  MathSciNet  Google Scholar 

  21. R. Wille,Über endliche, ordnungsaffinvollständige Verbände, Math. Z.155 (1977), 103–107.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. La Trobe University, Bundoora, Victoria, Australia

    Brian A. Davey & Ivan Rival

  2. University of Calgary, Calgary, Alberta, Canada

    Brian A. Davey & Ivan Rival

Authors
  1. Brian A. Davey
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  2. Ivan Rival
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Davey, B.A., Rival, I. Exponents of lattice-ordered algebras. Algebra Universalis 14, 87–98 (1982). https://doi.org/10.1007/BF02483911

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