We prove here that if k is a field of zero characteristic, then any homogenous ideal in k[X, Y] is liftable to a radical ideal. On the other hand, if k is a finite field, then for any n ≥ 2, there exist zero-dimensional monomial ideals in k[X1,...,Xn] which are not liftable to radical ideals.
|Number of pages||11|
|Journal||Journal of Pure and Applied Algebra|
|State||Published - Mar 1988|
ASJC Scopus subject areas
- Algebra and Number Theory