2016/11/29 by Thomas J. Gregson, Thomas Quinn-Gregson, Quinn-Gregson, Thomas
Engineering · Mathematics · #03C10 #20M19 #Engineering and Materials Science Studies #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:03C10 #msc:20M19
paper · pdf · doi:10.48550/arxiv.1611.09734
openalex publication_date 2016/11/29 · arxiv created 2017/08/10 · arxiv updated 2017/08/11 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
A countable band B is called homogeneous if every isomorphism between finitely generated subbands extends to an automorphism of B. 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.