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Totally unordered subsets of a partially well ordered set

Published online by Cambridge University Press:  17 April 2009

Martin Ward
Martin Ward
Affiliation:
Australian National University, Canberra, ACT.
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Abstract

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An order on the collection of totally unordered subsets of a partially well ordered set is defined, shown to satisfy the descending chain condition but not to be necessarily a partial well order itself.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 2 , April 1970 , pp. 179 - 182
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Higman, Graham, “Ordering by divisibility in abstract algebras”, Proc. London Math. Soc. (3) 2 (1952), 326–336.CrossRefGoogle Scholar
[2]Ward, M.A., “Basic commutators], Philos. Trans. Roy. Soc. London Ser. A 264 (1969), 343–412.Google Scholar