Borel Fixed Initial Ideals of Prime Ideals in Dimension Two
Commutative Algebra
2007-05-23 v1
Abstract
We prove that if the initial ideal of a prime ideal is Borel-fixed and the dimension of the quotient ring is less than or equal to two, then given any non-minimal associated prime ideal of the initial ideal it contains another associated prime ideal of dimension one larger.
Cite
@article{arxiv.math/0311124,
title = {Borel Fixed Initial Ideals of Prime Ideals in Dimension Two},
author = {Amelia Taylor},
journal= {arXiv preprint arXiv:math/0311124},
year = {2007}
}
Comments
4 pages