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A relation algebra which is not a cylindric reduct

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Abstract

There is an incomplete atomic relation algebra which is not the reduct of any 4-dimensional cylindric algebra. This completes the answer to a problem in [Mo61].

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References

  1. Henkin, L., Monk, J. D. andTarski, A.,Cylindric Algebras, Part I, North-Holland, Amsterdam, 1971.

    Google Scholar 

  2. Henkin, L., Monk, J. D. andTarski, A.,Cylindric Algebras, Part II, North-Holland, Amsterdam, 1985.

    Google Scholar 

  3. Maddux, R. D.,Topics in relation algebras, Doctoral dissertation, University of California, Berkeley, 1978, pp. iii+ 241.

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  4. Maddux, R. D.,Some varieties containing relation algebras, Transactions of the American Mathematical Society272 (1982), 501–526.

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  5. Monk, J. D.,Studies in cylindric algebra, Doctoral Dissertation, University of California, Berkeley, 1961, pp. vi + 83.

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  6. Nemeti, I.,Logic with 3 variables has Gödels's incompleteness property — thus free cylindric algebras are not atomic, Preprint No. 49/85 (July 1985), Mathematical Institute of the Hungarian Academy of Sciences, Budapest.

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  7. Németi, I.,Free algebras and decidability in algebraic logic, Doctoral dissertation, Hungarian Academy of Sciences, Budapest, 1986.

    Google Scholar 

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Maddux, R.D. A relation algebra which is not a cylindric reduct. Algebra Universalis 27, 279–288 (1990). https://doi.org/10.1007/BF01182461

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  • DOI: https://doi.org/10.1007/BF01182461

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