Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895836 | Journal of Algebra | 2018 | 15 Pages |
Abstract
We begin the study of the notion of diameter of an ideal IâS=k[x1,â¦,xn], an invariant measuring the distance between the minimal primes of I. We provide large classes of Hirsch ideals, i.e. ideals satisfying diam(I)â¤height(I), such as: quadratic radical ideals such that S/I is Gorenstein and height(I)â¤4, or ideals admitting a square-free complete intersection initial ideal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michela Di Marca, Matteo Varbaro,