Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-17T16:06:52.777Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Remarks on Noetherian Rings

Published online by Cambridge University Press:  20 November 2018

Michio Yoshida
Michio Yoshida*
Affiliation:
Hiroshima University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In his lecture at the University of Kyoto on September 23, 1955, Professor Artin gave an important theorem on Noetherian rings, which seems to have not a few interesting consequences. It is the purpose of our present note to point out one of them. We begin by quoting a special case of the theorem.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 35 - 37
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Chevalley, C., On the theory of local rings, Ann. Math. 44 (1943), 690–708.Google Scholar
2. Samuel, P., Algèbre locale, Mem. Sci. Math., No. 123 (Paris, 1953).Google Scholar
3. Samuel, P., Sur la notion de multiplicité en algèbre et en géométrie algຉbrique, J. Math. pur. et appl. 30 (1950), 159–205.Google Scholar
4. Zariski, O., Generalized semi-local rings, Sum. Bras. Math. 1 (1946), 169–195.Google Scholar
5. Zariski, O., Theory and applications of holomorphie functions on algebraic varieties over arbitrary fields, Mem. Amer. Math. Soc, No. 5 (New York, 1951).Google Scholar