English

Product Expansions Redux

Group Theory 2021-10-25 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.2110.11513,
  title  = {Product Expansions Redux},
  author = {Karsten Henckell and Samuel Herman},
  journal= {arXiv preprint arXiv:2110.11513},
  year   = {2021}
}

Comments

21 pages

R2 v1 2026-06-24T07:05:34.955Z