English

A generalized Dedekind-Mertens lemma and its converse

Commutative Algebra 2007-05-23 v1

Abstract

We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions.

Keywords

Cite

@article{arxiv.math/0210075,
  title  = {A generalized Dedekind-Mertens lemma and its converse},
  author = {Alberto Corso and William Heinzer and Craig Huneke},
  journal= {arXiv preprint arXiv:math/0210075},
  year   = {2007}
}

Comments

18 pages

R2 v1 2026-07-22T16:48:10.931Z