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

 

Existence of homogeneous ideals
fitting into long Bourbaki sequences


Author: Mutsumi Amasaki
Journal: Proc. Amer. Math. Soc. 127 (1999), 3461-3466
MSC (1991): Primary 13D02; Secondary 13D03
Published electronically: May 13, 1999
MathSciNet review: 1610925
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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.


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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: http://dx.doi.org/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
Published electronically: May 13, 1999
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1999 American Mathematical Society