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Limit varieties generated by finite non-J-trivial aperiodic monoids (2012.13598v3)

Published 25 Dec 2020 in math.GR

Abstract: Jackson and Lee proved that certain six-element monoid generates a hereditarily finitely based variety $\mathbb E1$ whose lattice of subvarieties contains an infinite ascending chain. We identify syntactic monoids which generate finitely generated subvarieties of $\mathbb E1$ and show that one of these finite monoids together with certain seven-element monoid generates a new limit variety.

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