On the two differences l(I^*/R)-l(R/I) and rl(R/I)-l(I^*/R)

Anna Oneto; Elsa Zatini

On the two differences l(I^/R)-l(R/I) and rl(R/I)-l(I^/R)

Commutative Algebra 2007-05-23 v1

Authors: Anna Oneto , Elsa Zatini

Abstract

Let R be a one-dimensional local Noetherian domain, which is supposed analytically irreducible and residually rational, and let I be a proper ideal of R. Our purpose is to study the two numbers l(I^*/R)-l(R/I) and rl(R/I)-l(I^*/R) (l denotes the length, r the Cohen-Macaulay type) already considered in the literature under various points of view. The basic idea is the expression of these invariants in terms of the type sequence.

Keywords

local noetherian domain cohen-macaulay type type sequence length ideal analytically irreducible

Cite

@article{arxiv.math/0603244,
  title  = {On the two differences l(I^*/R)-l(R/I) and rl(R/I)-l(I^*/R)},
  author = {Anna Oneto and Elsa Zatini},
  journal= {arXiv preprint arXiv:math/0603244},
  year   = {2007}
}

Comments

18 pages