From: Brenda Sue Cook (brenda@math.missouri.edu)
Date: Fri Feb 29 2008 - 16:04:34 CST
SPECIAL ALGEBRA SEMINAR (corrected)
Department of Mathematics
Javid Validashti
University of Kansas
Multiplicities of graded algebras
Abstract: Let R be a Noetherian ring and E a finitely generated R-
submodule of a free module F. We introduce a multiplicity j(E) for E
that generalizes the Buchsbaum-Rim multiplicity defined when E has
finite colength in F as well as the j-multiplicity of Achilles-
Manaresi that applies when E is an R-ideal. We use this notion to
give a multiplicity based criterion for integral dependence of modules.
Thursday, March 6
3:30 p.m.
312 Math Sci
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