English

Sally modules and associated graded rings

Commutative Algebra 2007-05-23 v1

Abstract

We study the depth properties of the associated graded ring of an m-primary ideal I in terms of numerical data attached to the ideal I. We also find bounds on the Hilbert coefficients of I by means of the Sally module S_J(I) of I with respect to a minimal reduction J of I.

Keywords

Cite

@article{arxiv.math/0210230,
  title  = {Sally modules and associated graded rings},
  author = {Alberto Corso and Claudia Polini and Maria Vaz Pinto},
  journal= {arXiv preprint arXiv:math/0210230},
  year   = {2007}
}

Comments

20 pages