Contents Online
Mathematical Research Letters
Volume 15 (2008)
Number 1
A criterion for integral dependence of modules
Pages: 149 – 162
DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n1.a13
Authors
Abstract
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.
Published 1 January 2008