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Discrete Mathematics
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Discrete Mathematics
Article . 2005
License: Elsevier Non-Commercial
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Discrete Mathematics
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Duality for finite Hilbert algebras

Authors: Sergio A. Celani; Leonardo Manuel Cabrer;

Duality for finite Hilbert algebras

Abstract

The authors provide a duality for finite Hilbert algebras by means of finite ordered sets endowed with a distinguished family of subsets. They also study the case in which the finite Hilbert algebras are join-semilattices or meet-semilattices.

Keywords

Meet-semilattices, H-spaces, Ordered sets, Semilattices, Brouwerian semilattices, Other algebras related to logic, Lattices and duality, Hilbert algebras, meet-semilattices, Theoretical Computer Science, join-semilattices, ordered sets, Heyting algebras (lattice-theoretic aspects), Discrete Mathematics and Combinatorics, Irreducible elements, Join-semilattices

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Top 10%
Average
hybrid