Borel Fixed Initial Ideals of Prime Ideals in Dimension Two

Details Borel Fixed Initial Ideals of Prime Ideals in Dimension Two Borel Fixed Initial Ideals of Prime Ideals in Dimension Two

2003-11-08

arxiv.org/abs/math/0311124v1

Mathematics

Commutative Algebra

4 pages

Scientific paper

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.

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