English

Homogeneous Bands

Rings and Algebras 2017-08-11 v3

Abstract

A countable band BB is called homogeneous if every isomorphism between finitely generated subbands extends to an automorphism of BB. In this paper we give a complete classification of all the homogeneous bands. We prove that a homogeneous band belongs to the variety of regular bands, and has a homogeneous structure semilattice.

Keywords

Cite

@article{arxiv.1611.09734,
  title  = {Homogeneous Bands},
  author = {Thomas Quinn-Gregson},
  journal= {arXiv preprint arXiv:1611.09734},
  year   = {2017}
}
R2 v1 2026-06-22T17:08:13.015Z