Order-Preserving Self-Maps of Complete Lattices

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

We study isotone self-maps of complete lattices and their fixed point sets, which are complete lattices contained as suborders, but not necessarily as subsemilattices. We develop a representation of such maps by means of relations and show how to navigate their fixed point lattices using a modification of the standard Next closure algorithm. Our approach is inspired by early work of Shmuely [8] and Crapo [1]. We improve and substantially extend our earlier publication [4].

Details

OriginalspracheEnglisch
Seiten (von - bis)455-468
Seitenumfang14
FachzeitschriftOrder
Jahrgang40(2023)
Ausgabenummer3
PublikationsstatusVeröffentlicht - Okt. 2023
Peer-Review-StatusJa

Schlagworte

Schlagwörter

  • Complete lattice, Fixed point, Isotone, Order-preserving