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The Completion of a Lattice Ordered Group

Published online by Cambridge University Press:  09 April 2009

Paul Conrad  and
Donald McAlister
Paul Conrad
Affiliation:
Tulane University, New Orleans Queen's University, Belfast
Donald McAlister
Affiliation:
Tulane University, New Orleans Queen's University, Belfast
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A lattice ordered group(‘l-group’) is called complete if each set of elements that is bounded above has a least upper bound (and dually). A complete l-group is archimedean and hence abelian, and each archimedean l-group has a completion in the sense of the following theorem.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 1-2 , February 1969 , pp. 182 - 208
Copyright
Copyright © Australian Mathematical Society 1969

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