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arxiv: 2204.09247 · v1 · pith:XWOC67UDnew · submitted 2022-04-20 · 🧮 math.GR · math.RA

Pointlike sets with respect to ER

classification 🧮 math.GR math.RA
keywords finitepointlikesetscomputesconstructivedecidableer-pointlikeexplicit
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We show that pointlike sets are decidable for the pseudovariety of finite semigroups whose idempotent-generated subsemigroup is R-trivial. Notably, our proof is constructive: we provide an explicit relational morphism which computes the ER-pointlike subsets of a given finite semigroup.

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