Embedding in factorisable restriction monoids
arXiv:1603.04991 · doi:10.1016/j.jalgebra.2016.11.033
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.