The Completion of a Lattice Ordered Group

Author:

Conrad Paul,McAlister Donald

Abstract

A lattice ordered group(‘l-group’) is calledcompleteif each set of elements that is bounded above has a least upper bound (and dually). A completel-group is archimedean and hence abelian, and each archimedeanl-group has a completion in the sense of the following theorem.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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