English

Strong Artin-Rees Property in Rings of dimension one and two

Commutative Algebra 2007-05-23 v1

Abstract

In this note we give a simple proof of the fact that local rings of dimension one have the strong uniform Artin-Rees property. Moreover, we give two examples of rings of dimension two where the property fails.

Keywords

Cite

@article{arxiv.math/0607177,
  title  = {Strong Artin-Rees Property in Rings of dimension one and two},
  author = {Janet Striuli},
  journal= {arXiv preprint arXiv:math/0607177},
  year   = {2007}
}

Comments

7 pages