A constructive embedding of finite semigroups into smallish monoids reduces the aperiodic-flow test for Krohn-Rhodes complexity 1 to that smaller class.
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Aperiodic Flows on Finite Semigroups II: Smallish Monoids Suffice for Complexity 1
A constructive embedding of finite semigroups into smallish monoids reduces the aperiodic-flow test for Krohn-Rhodes complexity 1 to that smaller class.