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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

C.M. Bang
C.M. Bang
Affiliation:
Department of Mathematics, Emory University, Atlanta, Georgia, USA.
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 2 , April 1974 , pp. 161 - 167
Copyright
Copyright © Australian Mathematical Society 1974

References

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