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Examples of bad noetherian local rings
Published online by Cambridge University Press: 22 January 2016
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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.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1978
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