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arxiv: 0806.4820 · v1 · submitted 2008-06-30 · 🧮 math.AC

Computing j-multiplicity

classification 🧮 math.AC
keywords j-multiplicityformulaidealadditiveanothercomputabilitycomputingdefined
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The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring $(R, m)$. It is equal to the Hilbert-Samuel multiplicity if the ideal is $m$-primary. In this paper we explore the computability of the j-multiplicity, giving another proof for the length formula and the additive formula.

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