English

Localization of complete intersections

Commutative Algebra 2019-12-23 v1

Abstract

Let (A,m)(A,\mathfrak{m}) be an abstract complete intersection and let PP be a prime ideal of AA. In [1] Avramov proved that APA_P is an abstract complete intersection. In this paper we give an elementary proof of this result.

Keywords

Cite

@article{arxiv.1912.09645,
  title  = {Localization of complete intersections},
  author = {Tony J. Puthenpurakal},
  journal= {arXiv preprint arXiv:1912.09645},
  year   = {2019}
}
R2 v1 2026-06-23T12:52:00.254Z