Symbolic powers of radical ideals

Aihua Li; Irena Swanson

doi:10.1216/rmjm/1181069441

Symbolic powers of radical ideals

Aihua Li
, Irena Swanson

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian ring with identity, Pⁿ = P⁽ⁿ⁾ for all n. We generalize the criteria to radical ideals.

Original language	English
Pages (from-to)	997-1009
Number of pages	13
Journal	Rocky Mountain Journal of Mathematics
Volume	36
Issue number	3
DOIs	https://doi.org/10.1216/rmjm/1181069441
State	Published - 2006

Keywords

Radical ideal
Reduced ring
Symbolic power
Test sequence

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10.1216/rmjm/1181069441

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abstract = "Hochster proved several criteria for the case when for a prime ideal P in a commutative Noetherian ring with identity, Pn = P(n) for all n. We generalize the criteria to radical ideals.",

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KW - Reduced ring

KW - Symbolic power

KW - Test sequence

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DO - 10.1216/rmjm/1181069441

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JO - Rocky Mountain Journal of Mathematics

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Symbolic powers of radical ideals

Abstract

Keywords

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