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A Profinite Approach to Stable Pairs

Karsten Henckell, John Rhodes, Benjamin Steinberg

math.GRarXiv:math/0612497

Abstract

We give a short proof, using profinite techniques, that idempotent pointlikes, stable pairs and triples are decidable for the pseudovariety of aperiodic monoids. Stable pairs are also described for the pseudovariety of all finite monoids.

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