Bulletin of the Korean Mathematical Society (대한수학회보)

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ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES

  • Received : 2019.10.14
  • Accepted : 2020.03.26
  • Published : 2020.09.30
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Abstract

This paper establishes a formula changing the ring from a Noetherian local ring A of dimension d > 0 containing the residue field k to the polynomial ring in d variables k[X1, X2, …, Xd] for mixed multiplicities. And as consequences, we get a formula for the multiplicity of Rees rings and formulas for mixed multiplicities and the multiplicity of Rees rings of quotient rings of A by highest dimensional associated prime ideals of A.

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References

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