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A pure subalgebra of a finitely generated algebra is finitely generated
Author(s):
Mitsuyasu
Hashimoto
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2233-2235.
MSC (2000):
Primary 13E15
Posted:
March 17, 2005
MathSciNet review:
2138864
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Abstract:
We prove the following. Let  be a Noetherian commutative ring,  a finitely generated  -algebra, and  a pure  -subalgebra of  . Then  is finitely generated over  .
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Additional Information:
Mitsuyasu
Hashimoto
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464--8602, Japan
Email:
hasimoto@math.nagoya-u.ac.jp
DOI:
10.1090/S0002-9939-05-07967-0
PII:
S 0002-9939(05)07967-0
Keywords:
Pure subalgebra,
finite generation,
flattening.
Received by editor(s):
December 30, 2003
Posted:
March 17, 2005
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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