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The lateral completion of a completely distributive lattice-ordered group (revisited)

Part of: Ordered structures

Published online by Cambridge University Press:  09 April 2009

Gary Davis  and
Stephen H. McCleary
Gary Davis
Affiliation:
La Trobe University, Bundoora, Victoria, Australia
Stephen H. McCleary
Affiliation:
University of Georgia, Athens, Georgia, U.S.A.
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Abstract

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The lateral completion of a completely distributive lattice-ordered permutation group is investigated via various completions, obtained by adjoining permutations which match some elements of the given group in various ways. This makes known results on the lateral completion of a completely distributive lattice-ordered group both transparent and easy.

MSC classification

Secondary: 06F15: Ordered groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 1 , June 1981 , pp. 114 - 128
Copyright
Copyright © Australian Mathematical Society 1981

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