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On the semilattice of idempotents of a free inverse monoid

Published online by Cambridge University Press:  20 January 2009

Pedro V. Silva
Pedro V. Silva
Affiliation:
Deparamento de Matemática, Universidade do Porto, 4000 Porto, Portugal Department of Mathematics, University of Glasgow, Glasgow G12 8QW
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 2 , June 1993 , pp. 349 - 360
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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