Abstract
In this paper we consider idempotent algebras whosepn-sequences (the sequences of the numberspn 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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