| Texto completo | |
| Autor(es): |
Perez, Victor H. Jorge
;
Ferrari, Marcela D.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS IN ALGEBRA; v. N/A, p. 13-pg., 2023-03-08. |
| Resumo | |
Let (R, m) be a d-dimensional Noetherian local ring, M be an R-submodule of the free module F = R-p. In this work, in analogy to the papers of Liu in [16] and of Ratliff and Rush in [20], if we consider R a formally equidimensional ring and the R-module F/M having finite length, we prove the existence of a unique chain of modules, M subset of M-{d+p-1}(F) subset of middotmiddotmiddot subset of M-{1}(F) subset of M-{0}(F) subset of M such that i-the Buchsbaum-Rim coefficients of M and M-{k}(F) are equal for i = 0, ..., k, between M and its integral closure M. This modules will be called Coefficient Modules of M. We also give a colon structure description of these coefficient modules, and, in addition, as consequence of this results, we obtain certain properties of the Ratliff-Rush module of M. (AU) | |
| Processo FAPESP: | 10/11668-4 - Ideais e módulos coeficientes/Número de Milnor em característica zero para aplicações |
| Beneficiário: | Marcela Duarte da Silva |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |