| Full text | |
| Author(s): |
Perez, Victor H. Jorge
;
Ferrari, Marcela D.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. N/A, p. 13-pg., 2023-03-08. |
| Abstract | |
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) | |
| FAPESP's process: | 10/11668-4 - Coefficient ideals and modules/Milnor number in caracteristic zero for maps |
| Grantee: | Marcela Duarte da Silva |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |