The equality I^2=QI in Buchsbaum rings with multiplicity two
Commutative Algebra
2007-05-23 v1
Abstract
Let A be a Buchsbaum local ring with the maximal ideal m and let e(A) denote the multiplicity of A. Let Q be a parameter ideal in A and put I=Q:m. Then the equality I^2=QI holds true, if e(A)=2 and depthA>0. The assertion is no longer true, unless e(A)=2. Counterexamples are given.
Cite
@article{arxiv.math/0306146,
title = {The equality I^2=QI in Buchsbaum rings with multiplicity two},
author = {Shiro Goto and Hideto Sakurai},
journal= {arXiv preprint arXiv:math/0306146},
year = {2007}
}
Comments
13 pages