Proceedings of the Edinburgh Mathematical Society (Series 2)

Table of Contents - June 1993 - Volume 36, Issue 02  

Research Article

On the semilattice of idempotents of a free inverse monoid

Pedro V. Silvaa1a2

a1 Deparamento de Matemática, Universidade do Porto, 4000 Porto, Portugal

a2 Department of Mathematics, University of Glasgow, Glasgow G12 8QW

Abstract

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 monoid FIM(X) to be isomorphic and some properties of the Munn semigroup of E[FIM(X)] are obtained. Some results on the embedding of semilattices in E[FIM(X)] are also obtained.

(Received November 12 1991)