On the grade of some ideals |
| |
| Authors: | J. F. Andrade A. Simis W. Vasconcelos |
| |
| Affiliation: | (1) Instituto de Matemática, Universidade Federal da Bahia, Rua Caetano Moura 99, Federação, 40.000 Salvador, BA, Brasil;(2) Instituto de Matemática Pura e Aplicada (IMPA), Rua Luis de Camões 68, Centro, 20.060 Rio de Janeiro, RJ, Brasil;(3) Department of Mathematics, Rutgers University, 08903 New Brunswick, New Jersey, USA |
| |
| Abstract: | ![]()
An  additivity formula is obtained for the grade of an ideal in a residue ring R/I, where I is a perfect ideal. This result is then applied to compute the grade of ideals of linear (inhomogeneous) polynomials. Further results on the homological rigidity of the conormal module I/I2 are pointed out. Finally, an elementary proof is given of a result of Buchsbaum concerning the grade of ideals of minors of a matrix.Partially supported a CNPq grantPartially supported by NSF and CNPq grants |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
