English

The depth of powers of an ideal

Commutative Algebra 2007-05-23 v1 Combinatorics

Abstract

We study the limit and initial behavior of the numerical function f(k)=\depthS/Ikf(k)=\depth S/I^k. General properties of this function together with concrete examples arising from combinatorics are discussed.

Keywords

Cite

@article{arxiv.math/0409178,
  title  = {The depth of powers of an ideal},
  author = {Juergen Herzog and Takayuki Hibi},
  journal= {arXiv preprint arXiv:math/0409178},
  year   = {2007}
}