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On the lifting problem for homogeneous ideals

✍ Scribed by Tie Luo; Erol Yilmaz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
162
Category
Article
ISSN
0022-4049

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✦ Synopsis

The lifting problem for homogeneous ideals is studied. A relation between a homogeneous ideal J and its liftings is established using a syzygy basis of J . This relation is then used to obtain an algorithm for ΓΏnding all the liftings of a homogeneous ideal. As an application of the algorithm, we discover the ΓΏrst example of a homogeneous ideal of dimension 0 in four variables which is not liftable to a radical ideal over the ΓΏeld of rational numbers.

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