Multiplicities of graded algebras
Abstract
Let R be a universally catenary locally equidimensional Noetherian ring. We give a multiplicity based criterion for integral dependence of an arbitrary finitely generated R-module over a submodule. Our proof is self-contained and implies the previously known numerical criteria for integral dependence of ideals and modules.
Degree
Ph.D.
Advisors
Ulrich, Purdue University.
Subject Area
Mathematics
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