On a transform of an acyclic complex of length 3
On a transform of an acyclic complex of length 3
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关于长度为 3 的无环复形的变换
DOI：
10.1016/j.jalgebra.2013.03.009
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发表时间：
2013
影响因子：
0.9
通讯作者：
Kosuke Fukumuro
中科院分区：
文献类型：
--
作者：
K. Fukumuro;T. Inagawa and Koji Nishida;酒井文雄;M. Hoshino and H. Koga;Atsushi Noma;尾形庄悦;Kosuke Fukumuro
设（R,m）为三维Cohen-Macaulay局部环，Q为R的参数理想，设一个长度为3的无环复合体F•是R的理想a的无R分辨率。本文描述了一个得到长度为3的无环络合物F•的具体过程，该络合物成为a:RQ的无r分辨率。作为应用，我们计算了某些2×3矩阵的极大次元所产生的理想的符号幂。
Let (R,m) be a 3-dimensional Cohen–Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex F•of length 3 which is an R-free resolution of an ideal a of R is given. In this paper, we describe a concrete procedure to get an acyclic complex F•⁎ of length 3 that becomes an R-free resolution of a:RQ. As an application, we compute the symbolic powers of ideals generated by maximal minors of certain 2×3 matrices.