On unique factorization semilattices

• Autorzy: Pedro V. Silva
• Języki publikacji: EN

Abstrakty

EN

The class of unique factorization semilattices (UFSs) contains important examples of semilattices such as free semilattices and the semilattices of idempotents of free inverse monoids. Their structural properties allow an efficient study, among other things, of their principal ideals. A general construction of UFSs from arbitrary posets is presented and some categorical properties are derived. The problem of embedding arbitrary semilattices into UFSs is considered and complete characterizations are obtained for particular classes of semilattices. The study of the Munn semigroup for regular UFSs is developed and a complete characterization is accomplished with respect to being E-unitary.

Słowa kluczowe

EN

semilattice; factorization; principal ideal; semilattice embedding; Munn semigroup

Kategorie tematyczne

• 20M10: General structure theory
• 20M18: Inverse semigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 97-120

Daty

wydano

2000

otrzymano

1998-10-19

Twórcy

autor

Pedro V. Silva

• Centro de Matemática, Faculdade de Ciencias, Universidade do Porto, 4099-002 Porto, Portugal

Bibliografia

• [1] J.M. Howie, An introduction to semigroup theory, Academic Press,London 1976.
• [2] P.V. Silva, On the semilattice of idempotents of a free inverse monoid, Proc. Edinburgh Math. Soc. 36 (1993), 349-360.

Identyfikatory

DOI

10.7151/dmgaa.1009