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On direct product decompositions of directed sets. (English) Zbl 0667.06001

It is shown that a result of Kolibiar concerning direct product decompositions of a directed set into finitely many factors cannot be extended to direct product decompositions having an infinite number of factors.
Reviewer: P.Vincke

MSC:

06A06 Partial orders, general
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References:

[1] KOLIBIAR M.: Congruence relations and direct decompositions of ordered sets. Acta scient. mathem. 51, 1987, 129-135. · Zbl 0645.06003
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