Analytic Deviation One Ideals and Test Modules
Commutative Algebra
2011-09-05 v2
Abstract
Let A be a Cohen-Macaulay local ring of dimension d and I an ideal in A. Let M be a finitely generated maximal Cohen-Macaulay A-module. Let I be a locally complete intersection ideal of analytic deviation one and reduction number at most one. We prove that the polynomial given by either has degree d-1 or is a free$module.
Cite
@article{arxiv.1108.5933,
title = {Analytic Deviation One Ideals and Test Modules},
author = {Ganesh S. Kadu and Tony J. Puthenpurakal},
journal= {arXiv preprint arXiv:1108.5933},
year = {2011}
}