Abstract
Straubing deduced from Simon's theorem that monoids of reflexive relations as well as monoids of order preserving extensive transformations generate the pseudovariety of [Formula: see text]-trivial monoids. We refine these results by showing that each pseudovariety in Simon's hierarchy of [Formula: see text]-trivial monoids is generated by a single relation/transformation monoid. From this and from some results by Blanchet–Sadri we obtain a complete solution of the finite basis problem for Straubing's monoids.
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