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Communications in Algebra Volume 37, 2009 - Issue 6
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Original Articles

On Equimultiple Modules

Ana L. Branco Correia Centro de Estruturas Lineares e Combinatórias, Universidade de Lisboa, Lisboa, Portugal; Departamento de Ciências Exactas e Tecnológicas, Universidade Aberta, Lisboa, PortugalCorrespondence[email protected]
&
Santiago Zarzuela Departament d'Àlgebra i Geometria, Universitat de Barcelona, Barcelona, Spain
Pages 1949-1976 | Received 06 Nov 2007, Published online: 06 Jun 2009
 
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Abstract

We study the class of equimultiple modules. In particular, we prove several criteria for an equimultiple module to be of the principal class or complete intersection and prove the openness of the equimultiple locus of an ideal module.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

We thank the referee for meticulously reading the manuscript and for constructive suggestions.

The first author has been partially supported by POCTI-ISFL-1-1431 (Portugal).

The second author has been partially supported by MTM2007-67493 (Spain).

Notes

Communicated by S. Goto.

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