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Completely meet-irreducible tolerances in distributive Noetherian lattices. (English) Zbl 0682.06010
A lattice L is Noetherian if it satisfies the Ascending Chain Condition. It is proven that for a distributive Noetherian lattice L, the set of all completely meet-irreducible tolerances in Tol L (the lattices of all tolerances on L) is o-isomorphic to the set of all intervals in the poset of all meet-irreducible elements of L.
Reviewer: I.Chajda

06F10 Noether lattices
Full Text: EuDML
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