## Tokyo Journal of Mathematics

### Mixed Multiplicities of Modules over Noetherian Local Rings

#### Abstract

The relationship between mixed multiplicities of arbitrary ideals in local rings and Hilbert-Samuel multiplicities was solved by Viêt in [8]. In this paper, we extend some important results of Viêt in [8, 9, 10, 11] to modules. We build the concept of (FC)-sequences of modules and use this notion to study reductions of ideals with respect to modules, mixed multiplicities of modules and multiplicities of Rees modules.

#### Article information

Source
Tokyo J. Math., Volume 29, Number 2 (2006), 325-345.

Dates
First available in Project Euclid: 1 February 2007

https://projecteuclid.org/euclid.tjm/1170348171

Digital Object Identifier
doi:10.3836/tjm/1170348171

Mathematical Reviews number (MathSciNet)
MR2284976

Zentralblatt MATH identifier
1126.13003

#### Citation

Mạnh, Nguyên Tiên; Việt, Duong Quôc. Mixed Multiplicities of Modules over Noetherian Local Rings. Tokyo J. Math. 29 (2006), no. 2, 325--345. doi:10.3836/tjm/1170348171. https://projecteuclid.org/euclid.tjm/1170348171

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