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Free i-Groups and vector lattices
Published online by Cambridge University Press: 09 April 2009
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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.
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- Copyright © Australian Mathematical Society 1975
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