Embedding in factorisable restriction monoids

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Embedding in Factorisable Restriction Monoids

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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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2017

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2016.11.033