Maximal compatible extensions of partial orders

DOI10.1017/S144678870001586XzbMath1109.06001OpenAlexW2032372043MaRDI QIDQ3412789

Jenő Szigeti, Stephan Foldes

Publication date: 2 January 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870001586x

zbMATH Keywords

monounary algebracompatible partial orderquasilinear partial order

Mathematics Subject Classification ID

Partial orders, general (06A06) Ordered rings, algebras, modules (06F25) Unary algebras (08A60)

Related Items (6)

Which self-maps appear as lattice anti-endomorphisms? ⋮ Conditional extensions of fuzzy preorders ⋮ Which self-maps appear as lattice endomorphisms? ⋮ Maximal extensions of partial orders preserving antimonotonicity ⋮ A characterization and the intersection of the maximal compatible extensions of a partial order ⋮ IRREDUCIBLE QUASIORDERS OF MONOUNARY ALGEBRAS

Cites Work

• Computability-theoretic and proof-theoretic aspects of partial and linear orderings
• A simple proof of Suzumura's extension theorem for finite domains with applications
• On the continuous analogue of the Szpilrajn theorem. I
• On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
• Linear extensions of orderings

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