EUDML | On the complementation of relatively complemented distributive lattices

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Displaying similar documents to “On the complementation of relatively complemented distributive lattices”

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Representation of algebraic distributive lattices with ℵ compact elements as ideal lattices of regular rings.

Friedrich Wehrung (2000)

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We prove the following result: Theorem. Every algebraic distributive lattice D with at most ℵ₁ compact elements is isomorphic to the ideal lattice of a von Neumann regular ring R. (By earlier results of the author, the ℵ₁ bound is optimal.) Therefore, D is also isomorphic to the congruence...