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Infinite chains of non-finitely based equational theories of finite algebras

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References

  1. G. Grätzer,Universal Algebra, 2nd. Edition. Springer Verlag, Berlin, 1980.

    MATH  Google Scholar 

  2. R. Lyndon,Identities in two-valued calculi, Trans. Amer. Math. Soc.71 (1951) 457–465.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Lyndon,Identities in finite algebras, Proc. Amer. Math. Soc.5 (1954) 8–9.

    Article  MATH  MathSciNet  Google Scholar 

  4. V. L. Murskiî,The existence in three-value logic of a closed class with finite basis not having a finite complete set of identities. Dokl. Akad. Nauk SSSR163 (1965) 815–818; English transl. Soviet Matl. Dokl.6 (1965) 1020–1024.

    MATH  MathSciNet  Google Scholar 

  5. V. L. Murskiî,The existence of a finite basis of identities and other properties of “almost all” finite algebras, (Russian), Problemy Kibernet.50 (1975) 43–56.

    Google Scholar 

  6. R. E. Park,Equational classes of non-associative ordered algebras. Ph.D. thesis, University of California, Los Angeles 1976, 113 pages. Available from University Microfilms, Ann Arbor.

    Google Scholar 

  7. P. Perkins,Bases for equational theories of semigroups, J. Algebra11 (1969) 293–314.

    Article  MathSciNet  Google Scholar 

  8. D. Pigozzi,Minimal, locally-finite varieties that are not finitely axiomatizable, Algebra Universalis9 (1979), 374–390.

    MATH  MathSciNet  Google Scholar 

  9. S. V. Polin,Identities of finite algebras. Sibirskii Mathematicheskii Zhurnal17 (1976) 1356–1366.

    MATH  MathSciNet  Google Scholar 

  10. W. Taylor,Equational logic, to appear in the Houston Journal of Mathematics. Cf. [1] where an abridged version is appended.

  11. V. V. Visin,Identity transformations in a four-valued logic Dokl. Acad. Nauk SSSR150 (1963) 719–721; English transl. Sov. Math. Dokl.4 (1963) 724.

    MathSciNet  Google Scholar 

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  1. University of South Carolina, Columbia, South Carolina, USA

    George F. McNulty

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  1. George F. McNulty
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McNulty, G.F. Infinite chains of non-finitely based equational theories of finite algebras. Algebra Universalis 13, 373–378 (1981). https://doi.org/10.1007/BF02483847

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