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The length of chains in modular algebraic lattices

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Publication:2476636
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DOI10.1007/S11083-007-9070-4zbMath1147.06006arXiv0812.2193OpenAlexW1991821590MaRDI QIDQ2476636

Maurice Pouzet, Ilham Chakir

Publication date: 12 March 2008

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2193




zbMATH Keywords

modular latticealgebraic latticeorder types of chainsscattered latticesemilattice of compact elementswell-founded lattice


Mathematics Subject Classification ID

Total orders (06A05) Modular lattices, Desarguesian lattices (06C05)


Related Items (2)

On scattered convex geometries ⋮ A characterization of well-founded algebraic lattices




Cites Work

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  • Ordered sets with no chains of ideals of a given type
  • Ordered sets with no infinite antichains
  • Complete ordered sets with no infinite antichains
  • Theory of relations. Transl. from the French by P. Clote. With an appendix by Norbert Sauer.
  • On Fraissé's order type conjecture
  • An order type decomposition theorem
  • Infinite independent sets in distributive lattices
  • Ordering by Divisibility in Abstract Algebras




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