English

The existence of finitely generated modules of finite Gorenstein injective dimension

Commutative Algebra 2007-05-23 v1

Abstract

In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.

Keywords

Cite

@article{arxiv.math/0506237,
  title  = {The existence of finitely generated modules of finite Gorenstein injective dimension},
  author = {Ryo Takahashi},
  journal= {arXiv preprint arXiv:math/0506237},
  year   = {2007}
}

Comments

6 pages, to appear in Proc. Amer. Math. Soc