Embedding in factorisable restriction monoids

Published 16 Mar 2016 in math.RA | (1603.04991v1)

Abstract: Each restriction semigroup is proved to be embeddable in a factorisable restriction monoid, or, equivalently, in an almost factorisable restriction semigroup. It is also established that each restriction semigroup has a proper cover which is embeddable in a semidirect product of a semilattice by a group.

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