Buchsbaum Stanley–Reisner rings with minimal multiplicity
Buchsbaum Stanley–Reisner rings with minimal multiplicity
复制标题
DOI：
10.1090/s0002-9939-05-08176-1
复制
发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
N. Terai;KEN-ICHI Yoshida
中科院分区：
文献类型：
--
作者：
N. Terai;KEN-ICHI Yoshida
本文研究了具有线性自由分解的BuchsbaumStanley-Reisner环.引入了初始次数为q的具有最小重数的Buchsbaum Stanley-Reisner环的概念，推广了后藤定义的具有最小重数的Buchsbaum环的概念.作为应用，我们给出了具有线性分解的非Cohen-Macaulay-Buchsbaum-Stanley-Reisner环的许多例子.
In this paper, we study Buchsbaum Stanley-Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley-Reisner rings with minimal multiplicity of initial degree q, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen-Macaulay Buchsbaum Stanley-Reisner rings with linear resolution.