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On completely meet-irreducible elements in compactly generated lattices. (English) Zbl 0688.06008
For a compactly generated lattice L, the author considers the map \(r(a)=\{x:\) x is completely meet-irreducible and \(a\leq x\}\). He then gives necessary and sufficient conditions on r for L to be distributive.
Reviewer: M.Abad

MSC:
06D05 Structure and representation theory of distributive lattices
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References:
[1] G. Birkhoff: Lattice Theory. 3d Amer. Math. Soc., Providence 1979. · Zbl 0505.06001
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