Embedding in factorisable restriction monoids

作者：Gould Victoria^*; Hartmann Miklos; Szendrei Maria B

来源：Journal of Algebra, 2017, 476: 216-237.

DOI：10.1016/j.jalgebra.2016.11.033

• Restriction semigroup
• Weakly E-ample semigroup
• (Almost) factorisability
• Semidirect product

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.

• 出版日期2017-4-15