Isotone Extensions and Complete Lattices

The set of necessary and sufficient conditions under which an isotone mapping from a subset of a poset X to a poset Y has an isotone extension to an isotone mapping from X to Y is found.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-05, Vol.246 (5), p.631-647
1. Verfasser: Dovgoshey, Oleksiy
Format: Artikel
Sprache:eng
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Zusammenfassung:The set of necessary and sufficient conditions under which an isotone mapping from a subset of a poset X to a poset Y has an isotone extension to an isotone mapping from X to Y is found.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04769-2