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Ideal extensions of lattices

โœ Scribed by N. Kehayopulu


Book ID
111503311
Publisher
Allerton Press, Inc.
Year
2009
Tongue
English
Weight
727 KB
Volume
53
Category
Article
ISSN
1066-369X

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We prove the following result: Let K be a lattice, let D be a distributive lattice with zero, and let ฯ• : Con c K โ†’ D be a {โˆจ, 0}-homomorphism, where Con c K denotes the {โˆจ, 0}-semilattice of all finitely generated congruences of K. Then there are a lattice L, a lattice homomorphism f : K โ†’ L, and a