Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingul...
Groups and noncommutative algebra: interactions and applications
| Grant number: | 12/01084-0 |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| Start date: | July 01, 2013 |
| End date: | July 31, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Victor Hugo Jorge Pérez |
| Grantee: | Thiago Henrique de Freitas |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated scholarship(s): | 13/20723-7 - Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals, BE.EP.DR |
Abstract Kishor Shah proved the existence and uniqueness of a chain of ideals between the ideals $ I $ the ring $ R $ and the integral closure of the same, these ideals preserve the first $ k +1$ the Hilbert coefficients of $I$, i.e., there are ideals $I_k $ containing the ideal $I$, for every integer $ k = 1, \ ldots, d $ such that $ I \subset I_ d \subset \ldots \subset I_1 \subset \overline {I} $ and$ e_i (I, R) = e_i (I_ {\lbrace k \rbrace}, R) $, for every integer $ i = 0, \ldots, k$. The integer $ e_i $(I, R)$ is called the $ i$-th Hilbert coefficient of the ideal $ I $ and $ I_ {\lbrace k \rbrace}$ is called $k$-th coefficient of the ideal $$. He also obtain the structure of each $I_{\lbrace k \rbrace}$ of $ I$.In our project we intend to generalize the result of Kishor Shah in the case when the ideal $I$ is an arbitrary ideal. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
| More itemsLess items | |
| TITULO | |
| Articles published in other media outlets ( ): | |
| More itemsLess items | |
| VEICULO: TITULO (DATA) | |
| VEICULO: TITULO (DATA) | |