On $\frak{m}$-Full Powers of Parameter Ideals
摘要
Let $Q$ be a parameter ideal in a Noetherian local ring $A$ with the maximal ideal $\frak{m}$. Then $A$ is a regular local ring and $\frak{m}/Q$ is cyclic, if $\rm{depth}\ A > 0$ and $Q^n$ is $\frak{m}$-full for some integer $n \geq 1$. Consequently, $A$ is a regular local ring and all the powers of $Q$ are integrally closed in $A$ once $Q^n$ is integrally closed for some $n \geq 1$.
引用本文（GB/T 7714）
Naoyuki Matsuoka. On $\frak{m}$-Full Powers of Parameter Ideals[J]. Tokyo Journal of Mathematics, 2006.
引文网络
本站仅收录题录与摘要供学习参考，全文版权归属出版方；如有侵权请联系我们删除。