English

A new approximation theory which unifies spherical and Cohen-Macaulay approximations

Commutative Algebra 2007-05-23 v1 Rings and Algebras

Abstract

This paper gives a new approximation theory for finitely generated modules over commutative Noetherian rings, which unifies two famous approximation theorems; one is due to Auslander and Bridger and the other is due to Auslander and Buchweitz. Modules admitting such approximations shall be studied.

Keywords

Cite

@article{arxiv.math/0603286,
  title  = {A new approximation theory which unifies spherical and Cohen-Macaulay approximations},
  author = {Ryo Takahashi},
  journal= {arXiv preprint arXiv:math/0603286},
  year   = {2007}
}

Comments

22 pages, to appear in Journal of Pure and Applied Algebra