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On the variety generated by Murskii's algebra

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Abstract

It is shown that the variety generated by Murskii's algebra contains uncountably many subvarieties.

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References

  1. Sheiia Oates MacDonald andM. R. Vaughan-Lee,Varieties that make one Cross. J. Austral. Math. Soc. Ser. A26 (1978), 368–382.

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  2. V. L. Murskii,The existence in three-valued logic of a closed class with finite basis not having a finite complete system of identities. Soviet Math. Doklady6 (1965), 1020–1024.

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  3. Sheila Oates-Williams,Murskii's algebra does not satisfy MIN. Bull. Austral. Math. Soc.22 (1980), 199–203.

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  4. Caroline Ruth Shallon,Non-finitely based binary algebras derived from lattices. Ph.D. thesis, University of California, Los Angeles, 1979.

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Authors and Affiliations

  1. University of Queensland, St. Lucia, Australia

    Sheila Oates-Williams

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  1. Sheila Oates-Williams
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Oates-Williams, S. On the variety generated by Murskii's algebra. Algebra Universalis 18, 175–177 (1984). https://doi.org/10.1007/BF01198526

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  • DOI: https://doi.org/10.1007/BF01198526

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