English

Commutative Local Rings of bounded module type

Rings and Algebras 2007-05-23 v1

Abstract

It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there exists a non-maximal prime ideal J such that R/J is a maximal valuation domain.

Keywords

Cite

@article{arxiv.math/0409546,
  title  = {Commutative Local Rings of bounded module type},
  author = {Francois Couchot},
  journal= {arXiv preprint arXiv:math/0409546},
  year   = {2007}
}