English

Pointlike sets with respect to ER

Group Theory 2022-04-21 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.2204.09247,
  title  = {Pointlike sets with respect to ER},
  author = {Karsten Henckell and Samuel Herman},
  journal= {arXiv preprint arXiv:2204.09247},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-24T10:52:51.802Z