On Countable Completions of Quotient Ordered Semigroups
Résumé
We study the commutativity of two operations: quotienting and completing. Completing refers to the countable chain completion, known to exist in every partial order, and quotienting is with respect to a semigroup congruence. The two operations are shown to commute in a suitable framework. We apply the results for studying the semigroup structure and topological semigroup structure on the completion.
Domaines
Autre [cs.OH]
Origine : Fichiers produits par l'(les) auteur(s)
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