Displaying similar documents to “Semilattice decomposition of semigroups.”

On unique factorization semilattices

Pedro V. Silva (2000)

Discussiones Mathematicae - General Algebra and Applications

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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...