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Posets isomorphic to their extensions

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Publication:1064328
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DOI10.1007/BF00334857zbMath0575.06003MaRDI QIDQ1064328

Marcel Erné

Publication date: 1985

Published in: Order (Search for Journal in Brave)


zbMATH Keywords

posetascending-chain conditionlower endsprinciple idealsrecycling isomorphisms


Mathematics Subject Classification ID

Partial orders, general (06A06) Complete lattices, completions (06B23)


Related Items

Comments on the completeness of order complements and on the Prüfer numbers ⋮ Completions for partially ordered semigroups ⋮ Unnamed Item



Cites Work

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  • Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
  • A uniform approach to inductive posets and inductive closure
  • Standard completions for quasiordered sets
  • Order completion monads
  • Continuous posets and adjoint sequences
  • Construction of free continuous algebras
  • Lattices isomorphic to their ideal lattices
  • Sur le théorème de Zorn
  • Hüllensysteme und Erweiterung von Quasi‐Ordnungen
  • A Generalized Cantor Theorem
  • Completions of Partially Ordered Sets
  • Each join-completion of a partially ordered set in the solution of a universal problem
  • Ideals in Partially Ordered Sets
  • The axiom of choice
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