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On two theorems concerning reductions in local rings

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Publication:1100519
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DOI10.1215/kjm/1250520764zbMath0641.13012OpenAlexW1585702149MaRDI QIDQ1100519

Liam O'Carroll

Publication date: 1987

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250520764


zbMATH Keywords

blow-upanalytic spreadRees ringcomplete reductions of a finite set of ideals


Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)


Related Items

On filter-regular sequences of multi-graded modules ⋮ Mixed Newton numbers and isolated complete intersection singularities ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ Toward mixed multiplicities and joint reductions ⋮ Noether normalizations, reductions of ideals, and matroids ⋮ Joint reductions of complete ideals ⋮ A note on joint reductions and mixed multiplicities ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities ⋮ Around the Eakin-Sathaye theorem ⋮ Bounded deviations ⋮ The diagonal subring and the Cohen-Macaulay property of a multigraded ring



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