Abstract
A finitely based equational class of idempotent algebras of type <m, n>,m, n≥2, is two-based. More generally, any finitely based equational class of idempotent algebras of type <m 1, ..., mk> withm i≥2 andk≥2 isk-based.
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References
G. Grätzer,Universal algebra, studies in higher mathematics. (D. Van Nostrand Pub. Co., Princeton, 1968).
R. N. McKenzie,Equational bases for lattice theories, Math. Scand.27 (1970), 24–38.
A. Tarski,Equational logic and equational theories of algebras, Contributions to mathematical logic. (North-Holland Pub. Co., Amsterdam, 1968), pp. 275–288.
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Presented to the symposium held in June, 1971 in honor of Professor A. Tarski. Some results of this paper were announced in the June issue of the Notices of the American Mathematical Society,18 (1971), abstract 71 T-A115.
This research was supported by the National Research Council of Canada.
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Padmanabhan, R. Equational theory of idempotent algebras. Algebra Univ. 2, 57–61 (1972). https://doi.org/10.1007/BF02945007
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DOI: https://doi.org/10.1007/BF02945007