English

Structure of principal one-sided ideals

Group Theory 2019-11-19 v1 Combinatorics Rings and Algebras

Abstract

We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as semigroups of transformations with restricted range or kernel.

Keywords

Cite

@article{arxiv.1911.07373,
  title  = {Structure of principal one-sided ideals},
  author = {James East},
  journal= {arXiv preprint arXiv:1911.07373},
  year   = {2019}
}

Comments

36 pages, 6 figures

R2 v1 2026-06-23T12:18:39.845Z