English

Network right * abundant semigroups

Group Theory 2024-11-25 v1

Abstract

We introduce the class of network right *-abundant semigroups. These are based on networks that extend the notion of a directed graph. This class properly contains the class of graph inverse semigroups. We investigate the structure of network right *-abundant semigroups. We show that two network right *-abundant semigroups are isomorphic if and only if the underlying networks are isomorphic.

Keywords

Cite

@article{arxiv.2411.14897,
  title  = {Network right * abundant semigroups},
  author = {Yanhui Wang and Pei Gao and Xueming Ren},
  journal= {arXiv preprint arXiv:2411.14897},
  year   = {2024}
}
R2 v1 2026-06-28T20:08:56.825Z