Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-20T00:52:17.631Z Has data issue: false hasContentIssue false
  • English
  • Français

The Cousin complex and integral extensions of Noetherian domains

Published online by Cambridge University Press:  24 October 2008

Rodney Y. Sharp
Rodney Y. Sharp
Affiliation:
Sheffield University
Get access Rights & Permissions [Opens in a new window]

Extract

In this article, the word ‘ring’ will mean ‘commutative, Noetherian ring with non-zero multiplicative identity’, and it is to be understood that ring homomorphisms respect identity elements.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 3 , May 1973 , pp. 407 - 415
Copyright
Copyright © Cambridge Philosophical Society 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Atiyah, M. F. and Macdonald, I. G.Introduction to commutative algebra (Addison Wesley, 1969).Google Scholar
(2)Bass, H.On the ubiquity of Gorenstein rings. Math. Z. 82 (1963), 8–28.Google Scholar
(3)Eckmann, B. and Schopf, A.Über injektive Modula. Arch. Math. 4 (1953), 75–78.CrossRefGoogle Scholar
(4)Gabriel, P.Objets injectifs dans les catégories abéliennes. Sém. Dubreil-Pisot. Fas. 12, Exposé 17 (1955–1959).Google Scholar
(5)Matlis, E.Injective modules over Noetherian rings. Pacific J. Math. 81 (1958), 511–528.Google Scholar
(6)Sharp, R. Y.The Cousin complex for a module over a commutative Noetherian ring. Math. Z. 112 (1969), 340–356.Google Scholar