On the effective reduction of an ideal
Abstract
It is well known that the reduction of an m-primary ideal q in the Noetherian local ring (R,m) with infinite residue field R/m may be given in the form of a sufficiently general linear combination of its generators. We give a condition for the existence of such a reduction in terms of the sum of the degrees of the prime divisors of the ideal fiber cone Fq(R) in the case of any Noetherian local ring.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Annales Polonici Mathematici
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 12 January 2026
- Language
- EN