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math.AC2003
Borel Fixed Initial Ideals of Prime Ideals in Dimension Two
Amelia Taylor
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…
math.AC2000
Inverse Grobner Basis Problem in Codimension Two
Amelia Taylor
Generic linkage is used to compute a prime ideal such that the radical of the initial ideal of the prime ideal is equal to the radical of a given codimension two monomial ideal tha…