A criterion for integral dependence of modules

• Autores: Bernd Ulrich, Javid Validashti
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 1, 2008, págs. 149-162
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n1.a13
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• Resumen

  • Let $R$ be a universally catenary locally equidimensional Noetherian ring. We give a multiplicity based criterion for an arbitrary finitely generated $R$-module to be integral over a submodule. Our proof is self-contained and implies the previously known numerical criteria for integral dependence of ideals and modules