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Divisibility of ordered groups
Published online by Cambridge University Press: 20 January 2009
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In this paper it is shown that divisibility of a complete lattice ordered (abelian) group is closely related to the existence of a sufficient number of small elements in the positive cone.
We shall denote the set of all real numbers by R which symbol will be reserved for this purpose. All terms used are as defined in Birkhoff(1). For the reader's convenience we now define the two terms most used in the sequel.
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- Copyright © Edinburgh Mathematical Society 1972