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Product Expansions Redux

Published 21 Oct 2021 in math.GR and math.RA | (2110.11513v1)

Abstract: We introduce a generalization of the product expansion of a finite semigroup. As an application, we provide an alternative proof of the decidability of pointlike sets for pseudovarieties consisting of semigroups whose subgroups all belong to a given decidable pseudovariety of groups.

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