Pseudo-complemented modular semilattices

Author:

Cornish William H.

Abstract

Chen and Grätzer [3], [4] have had great success in describing the properties of Stone lattices by way of representing them as triples. Their triple representation has recently been generalized to distributive pseudo-complemented lattices by Katriňák [6]. By varying the approach slightly Katriňák [5] has been able to obtain a triple representation for distributive pseudo-complemented semilattices that enabled him to characterize semilattices from distributive pseudo-complemented semilattices through to Stone lattices and Brouwer lattices in an elegant unified manner.

Publisher

Cambridge University Press (CUP)

Reference12 articles.

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3. Amalgamation for direct systems;Algebra Universalis;1991-09

4. Constructions ofp-algebras;Algebra Universalis;1983-12

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