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On the cardinality of nonfinitely based functionally complete algebras

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Abstract.

This paper proves that for each finite k≥ 4 there exist infinitely many pairwise term-inequivalent algebras of finite type with universe {0, 1, 2,..., k-1} which are functionally complete and inherently nonfinitely based.

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Authors and Affiliations

  1. Faculty of Natural Sciences and Mathemathics, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Yugoslavia, e-mail: vojvod@eunet.yu, pantovic@uns.ns.ac.yu and vpant@eunet.yu, , , , , , YU

    Jovanka Pantović & Dušan Vojvodić

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  1. Jovanka Pantović
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  2. Dušan Vojvodić
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Received September 2, 1999; accepted in final form February 16, 2000.

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Pantović, J., Vojvodić, D. On the cardinality of nonfinitely based functionally complete algebras. Algebra univers. 43, 369–374 (2000). https://doi.org/10.1007/s000120050165

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  • DOI: https://doi.org/10.1007/s000120050165

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