相对压缩水平代数的$h$ -向量
The $h$-vector of a relatively compressed level algebra
摘要：
本文的目的是提供一个关于任意水平代数$A$相对压缩的水平代数的$h$ -向量的上、下界（通常是精确的）。Migliore { \it et al.}在$[MMN]$中引入了相对压缩代数的概念。（其调查主要集中在$A$的特殊情况下，一个完整的交叉口）。本文的主要思想是简单地观察到相对于$A$压缩的水平代数与$A$适当截断的一般水平代数一致（在一个明显的同构之后）。因此，我们能够适用于相对压缩代数的主要结果，我们最近的工作$[Za3]$。
英文摘要：
The purpose of this note is to supply an upper and a lower bound (which are in general sharp) for the $h$-vector of a level algebra which is relatively compressed with respect to any arbitrary level algebra $A$. The useful concept of relatively compressed algebra was recently introduced in $[MMN]$ by Migliore {\it et al.} (whose investigations mainly focused on the particular case of $A$ a complete intersection). The key idea of this note is the simple observation that the level algebras which are relatively compressed with respect to $A$ coincide (after an obvious isomorphism) with the generic level quotients of suitable truncations of $A$. Therefore, we are able to apply to relatively compressed algebras the main result of our recent work $[Za3]$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
