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Quasi-coefficient rings of a local ring

Published online by Cambridge University Press:  22 January 2016

Hideyuki Matsumura
Hideyuki Matsumura*
Affiliation:
Department of Mathematics Nagoya University
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In this note we will make a few observations on the structure of fields and local rings. The main point is to show that a weaker version of Cohen structure theorem for complete local rings holds for any (not necessarily complete) local ring. The consideration of non-complete case makes the meaning of Cohen’s theorem itself clearer. Moreover, quasi-coefficient fields (or rings) are handy when we consider derivations of a local ring.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 68 , November 1977 , pp. 123 - 130
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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