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Principal congruence formulas in arithmetical varieties

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Universal Algebra and Lattice Theory

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

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References

  1. Baldwin, J.T., and Berman, J., The number of subdirectly irreducible algebras in a vareity. Alg. Univ. 5 (1975), 379–389.

    Article  MathSciNet  MATH  Google Scholar 

  2. _____, Definable principal congruence relations: kith and kin. Acta. Sci. Math. (Szeged) 44 (1982), 255–270.

    MathSciNet  MATH  Google Scholar 

  3. Burris, S., Arithmetical varieties and Boolean product representations. Univ. of Waterloo, manuscript 1978.

    Google Scholar 

  4. Fried, E., Grätzer, G., and Quackenbush, R.W., Uniform congruence schemes. Alg. Univ. 10 (1980), 176–188.

    Article  MathSciNet  MATH  Google Scholar 

  5. _____, and Kiss, E., Connections between congruence-lattices and polynomial properties. Alg. Univ. 17 (1983), 227–262.

    Article  MathSciNet  MATH  Google Scholar 

  6. Grätzer, G., Universal Algebra, 2nd ed., Springer-Verlag, Berlin 1979.

    MATH  Google Scholar 

  7. Kaarli, K., Compatible function extension property. Alg. Univ. 17 (1983), 200–207.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kiss, E., Definable principal congruences in congruence distributive varieties. Math. Institute of the Hungarian Academy of Sciences, manuscript 1984.

    Google Scholar 

  9. Köhler, P., and Pigozzi, D., Varieties with equationally definable principal congruences. Alg. Univ. 11 (1980), 213–219.

    Article  MathSciNet  MATH  Google Scholar 

  10. Korec, I., A ternary function for distributivity and permutability of an equivalence lattice. Proc. Amer. Math. Soc. 69 (1978), 8–10.

    Article  MathSciNet  MATH  Google Scholar 

  11. _____, Concrete representation of some equivalence lattices. Math. Slovaca 31 (1981), 13–22.

    MathSciNet  MATH  Google Scholar 

  12. McKenzie, R., On spectra and the negative solution of the decision problem for identities having a finite non-trivial model. J. Symbolic Logic 40 (1975), 186–196.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, Para-primal varieties: a study of finite axiomatizability and definable principal congruences in locally finite varieties. Alg. Univ. 8 (1978), 336–348.

    Article  MathSciNet  MATH  Google Scholar 

  14. Pixley, A.F., Completeness in arithmetical algebras. Alg. Univ. 2 (1972), 179–196.

    Article  MathSciNet  MATH  Google Scholar 

  15. _____, Characterizations of arithmetical varieties. Alg. Univ. 9 (1979) 87–98.

    Article  MathSciNet  MATH  Google Scholar 

  16. Quackenbush, R.W., Equational classes generated by finite algebras. Alg. Univ. 1 (1971), 265–266.

    Article  MathSciNet  MATH  Google Scholar 

  17. _____, and Wolk, B., Strong representation of congruence lattices. Alg. Univ. 1 (1971), 165–166.

    Article  MathSciNet  MATH  Google Scholar 

  18. Werner, H., Eine Charakterisierung funktional vollständige Algebren. Arch. Math. (Basel) 21 (1970), 381–385.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Harvey Mudd College, 91711, Claremont, California

    A. F. Pixley

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  1. A. F. Pixley
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Stephen D. Comer

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© 1985 Springer-Verlag

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Pixley, A.F. (1985). Principal congruence formulas in arithmetical varieties. In: Comer, S.D. (eds) Universal Algebra and Lattice Theory. Lecture Notes in Mathematics, vol 1149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098468

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  • DOI: https://doi.org/10.1007/BFb0098468

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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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