Abstract
In this paper we consider idempotent algebras whosep n -sequences (the sequences of the numbersp n of essentiallyn-ary polynomials) have a subexponential rate of growth. Studying the symmetry groups of polynomials we establish some consequences of this property. In particular, a new characterization of semilattices is obtained, and all idempotent commutative algebras with log-linear free spectra are described.
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To Professor Jerzy Plonka in honour of his 60th birthday
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Dudek, J., Kisielewicz, A. Idempotent algebras with log-linear free spectra. Algebra Universalis 28, 119–127 (1991). https://doi.org/10.1007/BF01190415
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DOI: https://doi.org/10.1007/BF01190415