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Borel Fixed Initial Ideals of Prime Ideals in Dimension Two

Amelia Taylor
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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.

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Amelia Taylor. 2003-11-08. Borel Fixed Initial Ideals of Prime Ideals in Dimension Two. https://arxiv.org/abs/math/0311124

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