English

Integral dimension of a noetherian ring

Commutative Algebra 2016-03-02 v1

Abstract

In this paper, we introduce a new notion, called the integral dimension, for noetherian rings. It can be regarded as the weak Briancon-Skoda numbers of rings. The point is that every noetherian local ring has finite integral dimension.

Keywords

Cite

@article{arxiv.1603.00045,
  title  = {Integral dimension of a noetherian ring},
  author = {Caijun Zhou},
  journal= {arXiv preprint arXiv:1603.00045},
  year   = {2016}
}

Comments

14pages

R2 v1 2026-06-22T13:00:24.909Z