EUDML | Lattice-ordered demigroups

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Displaying similar documents to “Lattice-ordered demigroups”

On a characterization of the lattice of all ideals of a Boolean ring

Leopoldo Nachbin (1949)

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Length of ideals in lattices.

Ladislav Beran (1995)

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Yurij Aleksandrovich Abramovich, Zbigniew Lipecki (1990)

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Some properties of strongly normal lattices

Al-Ezeh, H. (1992)

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Weak direct factors of lattices

Judita Lihová (2006)

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

Friedrich Wehrung (2000)

Publicacions Matemàtiques

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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...