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Injective Modules Over Prufer Rings

Published online by Cambridge University Press:  22 January 2016

Eben Matlis
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The purpose of this paper is to find out what can be learned about valuation rings, and more generally Prufer rings, from a study of their injective modules. The concept of an almost maximal valuation ring can be reformulated as a valuation ring such that the images of its quotient field are injective. The integral domains with this latter property are found to be the Prufer rings with a (possibly) weakened form of linear precompactness for their quotient fields.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 15 , August 1959 , pp. 57 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1959

References

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