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arxiv: 1603.04991 · v1 · pith:ESWOFZTCnew · submitted 2016-03-16 · 🧮 math.RA

Embedding in factorisable restriction monoids

classification 🧮 math.RA
keywords restrictionfactorisablesemigroupembeddablealmostcoverembeddingequivalently
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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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