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Remarks on module-finite pairs

Published online by Cambridge University Press:  20 January 2009

James A. Huckaba  and
Ira J. Papick
James A. Huckaba
Affiliation:
Department of MathematicsUniversity of MissouriColumbia, Missouri 65211
Ira J. Papick
Affiliation:
Department of MathematicsUniversity of MissouriColumbia, Missouri 65211
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Let R ⊊ T be an extension of commutative rings having the same identity. A. Wadsworth (10) studies the situation when R and T are integral domains, and all rings between R and T are Noetherian. In this case (R, T) is called a Noetherian pair. In a similar vein, E. Davis (4) studies normal pairs and I. Papick (8) shows when coherent pairs are Noetherian pairs.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 24 , Issue 2 , June 1981 , pp. 137 - 139
Copyright
Copyright © Edinburgh Mathematical Society 1981

References

REFERENCES

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