English

Ideals defining Gorenstein rings are (almost) never products

Commutative Algebra 2014-09-01 v1

Abstract

This note proves that if S is an unramified regular local ring and I and J are proper ideals of height at least two, then S/IJ is never Gorenstein.

Keywords

Cite

@article{arxiv.1408.7095,
  title  = {Ideals defining Gorenstein rings are (almost) never products},
  author = {Craig Huneke},
  journal= {arXiv preprint arXiv:1408.7095},
  year   = {2014}
}

Comments

This paper was published in 2007