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Free i-Groups and vector lattices

Published online by Cambridge University Press:  09 April 2009

Roger D. Bleier
Roger D. Bleier
Affiliation:
University of TexasAustin, Texas 78712, U. S. A.
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The purpose of this paper is to present three somewhat disparate results on free objects in three different classes of λ-groups. The first is that no proper ideal of a finitely generated free vector lattice can itself be a free vector lattice. Second, each free abelian lgroup is characteristically simple. The third result is that each disjoint subset of a free (non-abelian) lgroup is countable.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 3 , May 1975 , pp. 337 - 342
Copyright
Copyright © Australian Mathematical Society 1975

References

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