Homogeneous Bands
classification
🧮 math.RA
keywords
homogeneousbandsbandautomorphismbelongscalledclassificationcomplete
read the original abstract
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.
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