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Examples of bad noetherian local rings

Published online by Cambridge University Press:  22 January 2016

Maria Grazia Marinari
Maria Grazia Marinari*
Affiliation:
Istituto Matematico-Universita di Genova
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In this paper we use a general technique, due to Larfeldt-Lech [9], to show that there exist local noetherian rings which are “bad” with respect to some properties which are obviously verified in the algebro-geometric case. In particular we show that there exist local Gorenstein rings which are not homomorphic images of regular (local) rings and that there exist local rings which do have canonical module but do not have canonical algebra.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 105 - 110
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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