PP-2017-19: MacNeille transferability and stable classes of Heyting algebras

PP-2017-19: Bezhanishvili, Guram and Harding, John and Ilin, Julia and Lauridsen, Frederik Möllerström (2017) MacNeille transferability and stable classes of Heyting algebras. [Pre-print] (Submitted)

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A lattice P is transferable for a class of lattices K if whenever P can be embedded into the ideal lattice I(L) of some L ∈ K, then P can be embedded into L. There is a rich theory of transferability for lattices. Here we introduce the analogous notion of MacNeille transferability, replacing the ideal lattice I(L) with the MacNeille completion L. Basic properties of MacNeille transferability are developed. Particular attention is paid to MacNeille transferability in the class of Heyting algebras where it relates to stables classes of Heyting algebras, and hence to stable intermediate logics.

Item Type: Pre-print
Report Nr: PP-2017-19
Series Name: Prepublication (PP) Series
Year: 2017
Additional Information: This project has received funding from the European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie grant agreement No 689176.
Uncontrolled Keywords: Transferability, MacNeille completion, distributive lattice, Heyting algebra.
Subjects: Logic
Depositing User: flaurid1
Date Deposited: 11 Dec 2017 14:03
Last Modified: 12 Dec 2017 01:32
URI: https://eprints.illc.uva.nl/id/eprint/1576

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