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On the Vasconcelos inequality for the fiber multiplicity of modules
Published in Taylor and Francis Inc.
2018
Volume: 46
   
Issue: 8
Pages: 3322 - 3333
Abstract
Let (R,&) be a Noetherian local ring of dimension d>0 with infinite residue field. Let M be a finitely generated proper R-submodule of a free R-module F with ℓ(F∕M)<∞ and having rank r. In this article, we study the fiber multiplicity f0(M) of the module M. We prove that if (R,&) is a two-dimensional Cohen–Macaulay local ring, then f0(M)≤br1(M)-br0(M)+l(F/M)+ m (M)-r, where bri(M) denotes the ith Buchsbaum-Rim coefficient of M. © 2017 Taylor & Francis.
About the journal
JournalData powered by TypesetCommunications in Algebra
PublisherData powered by TypesetTaylor and Francis Inc.
ISSN00927872
Open AccessYes