Constructive characterization of the reduction numbers

Details Constructive characterization of the reduction numbers Constructive characterization of the reduction numbers

2002-09-26

arxiv.org/abs/math/0209375v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

We present a constructive description of minimal reductions with a given
reduction number. This description has interesting consequences on the minimal
reduction number, the big reduction number, and the core of an ideal. In
particular, it helps solve a conjecture of Vasconcelos on the relationship
between reduction numbers and initial ideals.

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