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Product Expansions Redux

2021/10/21 by Henckell, Karsten, Herman, Samuel
#20M07 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2110.11513

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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