Gorenstein rings and irreducible parameter ideals
交换代数
2007-05-23 v2
摘要
Given a Noetherian local ring (R,m) it is shown that there exists an integer l such that R is Gorenstein if and only if some system of parameters contained in m^l generates an irreducible ideal. We obtain as a corollary that R is Gorenstein if and only if every power of the maximal ideal contains an irreducible parameter ideal.
引用
@article{arxiv.math/0608661,
title = {Gorenstein rings and irreducible parameter ideals},
author = {Thomas Marley and Mark W. Rogers and Hideto Sakurai},
journal= {arXiv preprint arXiv:math/0608661},
year = {2007}
}
备注
9 pages; submitted; Replacement: Coauthor H. Sakurai added, reference to work of J. R. Strooker added, introduction shortened