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Partially well-ordered sets of infinite matrices and closed classes of abelian groups
Published online by Cambridge University Press: 17 April 2009
Extract
We give a necessary and sufficient condition for a class of row-decreasing infinite matrices to be partially well-ordered with regard to the component-wise ordering. Then, using these matrices, we determine all the classes of abelian groups, closed under taking subgroups, direct limits, and isomorphic groups.
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- Copyright © Australian Mathematical Society 1974
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