English

Linear bounds on growth of associated primes

Commutative Algebra 2007-05-23 v1

Abstract

We find explicit bounds on the primary components and on the Castelnuovo-Mumford regularity of powers of monomial ideals. We also analyze the primary decompositions of Katzman's example.

Keywords

Cite

@article{arxiv.math/0209309,
  title  = {Linear bounds on growth of associated primes},
  author = {Karen E. Smith and Irena Swanson},
  journal= {arXiv preprint arXiv:math/0209309},
  year   = {2007}
}