
arXiv: 1611.09734
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.
SEMIGROUPS, homogeneous bands, Model-theoretic algebra, Quantifier elimination, model completeness, and related topics, Mathematics - Rings and Algebras, strong amalgamation, Varieties and pseudovarieties of semigroups, homogeneity, Rings and Algebras (math.RA), FOS: Mathematics, General structure theory for semigroups, 20M19, 03C10
SEMIGROUPS, homogeneous bands, Model-theoretic algebra, Quantifier elimination, model completeness, and related topics, Mathematics - Rings and Algebras, strong amalgamation, Varieties and pseudovarieties of semigroups, homogeneity, Rings and Algebras (math.RA), FOS: Mathematics, General structure theory for semigroups, 20M19, 03C10
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