**Beiträge zur Algebra und Geometrie
**

Contributions to Algebra and Geometry

Vol. 39, No. 1, pp. 47-51 (1998)

#
Multiplicities of Ideals in Noetherian Rings

##
Ezra N. Miller

Department of Mathematics,

University of California at Berkeley,

Berkeley, CA 94720

**Abstract:** Given any ideal $I$ in a Noetherian ring $R$, we get a multiplicity function $\hbox mult_I\colon \hbox Spec(R)\to$** N**. This paper characterizes all such functions.

**Keywords:** multiplicity function; ideals

**Classification (MSC91):** 13E05

**Full text of the article:**

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