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Representations of distributive lattices as lattices of functions

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Publication:775841
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DOI10.1007/BF01342978zbMath0107.25401OpenAlexW2002979252MaRDI QIDQ775841

Robert L. Blair, Frank W. Anderson

Publication date: 1961

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/160858


zbMATH Keywords

lattices, ordered sets



Related Items (7)

Rings and sheaves ⋮ General approach to characterizations of \(C(X)\) ⋮ \(C(X)\)-objects in the category of semi-affine lattices ⋮ \(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky ⋮ \(C(X)\) as a real \(\ell \)-group ⋮ Homomorphisms of some function lattices ⋮ A note on subdirect products of finite chains




Cites Work

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  • A characterization of function-lattices
  • Certain homomorphisms onto chains
  • Characterizations of certain lattices of functions
  • Applications of the Theory of Boolean Rings to General Topology
  • Topological representations of distributive lattices and Brouwerian logics
  • Lattices of continuous functions
  • Lattices of Continuous Functions II
  • On the application of Tychonoff's theorem in mathematical proofs




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