English

Weakly free regular semigroups I. The general case

Group Theory 2023-06-29 v1

Abstract

We prove the existence of a regular semigroup F(X) weakly generated by X such that all other regular semigroups weakly generated by X are homomorphic images of F(X). The semigroup F(X) is introduced by a presentation and the word problem for that presentation is solved.

Keywords

Cite

@article{arxiv.2306.16374,
  title  = {Weakly free regular semigroups I. The general case},
  author = {Luís Oliveira},
  journal= {arXiv preprint arXiv:2306.16374},
  year   = {2023}
}

Comments

23 pages; 4 figures

R2 v1 2026-06-28T11:17:06.833Z