Borel Fixed Initial Ideals of Prime Ideals in Dimension Two
classification
🧮 math.AC
keywords
idealprimedimensioninitialassociatedidealsanotherborel
read the original 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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