| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Paraiba, DM, BR-58051900 Joao Pessoa, Paraiba - Brazil
[2] Univ Sao Paulo, ICMC, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 214, n. 9, p. 1642-1653, SEP 2010. |
| Web of Science Citations: | 7 |
| Abstract | |
Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-Rim multiplicity for a finite family of R-submodules of R(p) of finite colength coincides with the Buchsbaum-Rim multiplicity of the module generated by a suitable superficial sequence, that is, we generalize for modules the well-known Risler-Teissier theorem. As a consequence, we give a new proof of a generalization for modules of the fundamental Rees' mixed Multiplicity theorem, which was first proved by Kirby and Rees in (1994, {[}8]). We use the above result to give an upper bound for the minimal number of generators of a finite colength R-submodule of R(p) in terms of mixed multiplicities for modules, which generalize a similar bound obtained by Cruz and Verma in (2000, {[}5]) for m-primary ideals. (C) 2009 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 08/53703-0 - Roberto Callejas Bedregal | Universidade Federal daParaíba /UFPB - Brazil |
| Grantee: | Victor Hugo Jorge Pérez |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |