Mixed Multiplicities of Multi-Graded Algebras Over Noetherian Local Rings

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Let S be a finitely generated standard multi-graded algebra over a Noetherian local ring A. This paper first expresses mixed multiplicities of S in term of Hilbert-Samuel multiplicity that explained the mixed multiplicities S as the Hilbert-Samuel multiplicities for quotient modules of S. As an application, we get formulas for the mixed multiplicities of ideals that covers the main result of Trung-Verma 2007 [TV].
17 pages

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Commutative Algebra, 13H15

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http://salesiana.dossiersoluciones.com/handle/123456789/219069

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.1240
 http://arxiv.org/abs/0902.1240

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arXiv