Ideals with sliding depth
Ideals with sliding depth
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具有滑动深度的理想
DOI：
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发表时间：
1985
影响因子：
0.8
通讯作者：
R. Villarreal
中科院分区：
文献类型：
--
作者：
J. Herzog;W. Vasconcelos;R. Villarreal
我们在这里研究Cohen-Macaulay环（R，M}的一类思想，有点介于完整的交叉点和一般的Cohen-Macaulay想法之间=（x1…xn）=（x）是r的理想，并用h*（x）构建的序列x的普通koszul复合物的同源性k*（x）。嗨，我> 0，随着i的增加而增加（像往常一样，我们设置了深度（0）=∞）。
We study here a class of ideals of a Cohen-Macaulay ring {R, m} somewhat intermediate between complete intersections and general Cohen-Macaulay ideals. Its definition, while a bit technical, rapidly leads to the development of its elementary properties. Let I = (x1 … xn ) = (x) be an ideal of R and denote by H*(x) the homology of the ordinary Koszul complex K*(x) built on the sequence x. It often occurs that the depth of the module Hi i > 0, increases with i (as usual, we set depth (0) = ∞).