Bounds on multiplicities of local rings

Douglas Hanes

doi:10.1081/AGB-120005820

Bounds on multiplicities of local rings

Douglas Hanes

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9 Scopus citations

Abstract

We consider an inequality of C. Lech on the Samuel multiplicities of ideals primary to the maximal ideal of a local ring. We give an analogue of the inequality for Hilbert-Kunz multiplicities in prime characteristic, as well as some improvements on Lech's result for Samuel multiplicities of rings of equal characteristic.

Original language	English
Pages (from-to)	3789-3812
Number of pages	24
Journal	Communications in Algebra
Volume	30
Issue number	8
DOIs	https://doi.org/10.1081/AGB-120005820
State	Published - Aug 2002

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title = "Bounds on multiplicities of local rings",

abstract = "We consider an inequality of C. Lech on the Samuel multiplicities of ideals primary to the maximal ideal of a local ring. We give an analogue of the inequality for Hilbert-Kunz multiplicities in prime characteristic, as well as some improvements on Lech's result for Samuel multiplicities of rings of equal characteristic.",

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AB - We consider an inequality of C. Lech on the Samuel multiplicities of ideals primary to the maximal ideal of a local ring. We give an analogue of the inequality for Hilbert-Kunz multiplicities in prime characteristic, as well as some improvements on Lech's result for Samuel multiplicities of rings of equal characteristic.

UR - https://www.scopus.com/pages/publications/0035982296

U2 - 10.1081/AGB-120005820

DO - 10.1081/AGB-120005820

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VL - 30

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

Bounds on multiplicities of local rings

Abstract

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