Abstract
In [4] A. F. Pixley stated a problem due to A. L. Foster: is a functionally complete algebra having no non-trivial subalgebras necessarily categorical? In this paper we show that, in general, the answer to this question is negative. However the answer becomes affirmative, if we replace the word “non-trivial” by the word “proper”.
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Kaarli, K. On varieties generated by functionally complete algebras. Algebra Universalis 29, 495–502 (1992). https://doi.org/10.1007/BF01190776
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DOI: https://doi.org/10.1007/BF01190776