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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Noether normalizations for local rings of algebraic varieties


Author: Kazuhiko Kurano
Journal: Proc. Amer. Math. Soc. 116 (1992), 905-910
MSC: Primary 13B22; Secondary 13H05, 14H20
MathSciNet review: 1100658
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Abstract: When $ D$ is a regular subring of $ A$ such that the inclusion map is finite, $ D$ is called a Noether normalization of $ A$. We will prove the existence of Noether normalizations of $ A$, when $ A$ is a local ring of a one-dimensional algebraic variety. Furthermore we will give a criterion for the existence and interesting examples.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1100658-3
PII: S 0002-9939(1992)1100658-3
Article copyright: © Copyright 1992 American Mathematical Society