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Pseudo-complemented modular semilattices

Published online by Cambridge University Press:  09 April 2009

William H. Cornish
William H. Cornish
Affiliation:
The Flinders University of South Australia, Bedford Park, South Australia 5042
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 2 , September 1974 , pp. 239 - 251
Copyright
Copyright © Australian Mathematical Society 1974

References

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