论文标题
Noetherian分级代数的Epsilon多重性
Epsilon multiplicity for Noetherian graded algebras
论文作者
论文摘要
Epsilon多样性的概念最初是由Ulrich和ViralAshti定义为Limsup的，它们用它来检测模块的积分依赖性。重要的是要知道它是否可以实现为限制。在本文中，我们表明，在极好的局部环上，降低的noetherian分级代数的相对相对多重性是一个极限。 Cutkosky关于Epsilon多重性的结果的重要特殊情况是作为我们主要定理的必然性。我们还为单一理想发展了混合的Epsilon多重性的概念。
The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if it can be realized as a limit. In this article we show that the relative epsilon multiplicity of reduced Noetherian graded algebras over an excellent local ring exists as a limit. An important special case of a result of Cutkosky concerning epsilon multiplicity, is obtained as a corollary of our main theorem. We also develop the notion of mixed epsilon multiplicity for monomial ideals.
