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Existence of homogeneous ideals fitting into long Bourbaki sequences
Author(s):
Mutsumi
Amasaki
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3461-3466.
MSC (1991):
Primary 13D02;
Secondary 13D03
Posted:
May 13, 1999
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Abstract:
For any finitely generated torsion-free graded module over a polynomial ring, there exists a homogeneous ideal fitting into an exact sequence similar to a Bourbaki sequence even though its height is not restricted to two.
References:
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- M. Amasaki, Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals, Trans. AMS 317 (1990), 1 - 43. MR 90d:13002
- 4.
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- 5.
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- 7.
- M. Amasaki, Basic sequence and Nollet's
 of a homogeneous ideal of height two, preprint (August, 1996). - 8.
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 , Amer. J. Math. 113 (1991), 117-128. MR 92c:14047 - 9.
- N. Bourbaki, ``Algèbre Commutative'', Masson, Paris, 1985.
- 10.
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Additional Information:
Mutsumi
Amasaki
Affiliation:
Faculty of School Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiro- shima 739-8524, Japan
Email:
amasaki@ipc.hiroshima-u.ac.jp
DOI:
10.1090/S0002-9939-99-04898-4
PII:
S 0002-9939(99)04898-4
Received by editor(s):
September 26, 1997
Received by editor(s) in revised form:
February 10, 1998
Posted:
May 13, 1999
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1999,
American Mathematical Society
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