On the semilattice of idempotents of a free inverse monoid
Pedro V. Silva · Proceedings of the Edinburgh Mathematical Society · 1993
Some new concepts are introduced, in particular that of a unique factorization semilattice. Necessary and sufficient conditions are given for two principal ideals of the semilattice of idempotents of a free inverse monoidFIM(X) to be isomorphic and some properties of the Munn semigroup ofE[FIM(X)] are obtained. Some results on the embedding of semilattices inE[FIM(X)] are also obtained.