On the arithmetical rank of monomial ideals

On the arithmetical rank of monomial ideals
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DOI:
10.1016/0021-8693(88)90133-0
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发表时间:
1988
期刊:
影响因子:
0.9
通讯作者:
G. Lyubeznik
G. Lyubeznik
中科院分区:
数学3区
文献类型:
--
作者:
G. Lyubeznik

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定理设定A= k [xi,xi,. x,] CxO,x,xn,其中k是无限域,设rU是A的由xi中的单项式生成的理想,使得它的所有极小素超理想的高度为6 t。则ara,B< n-[n/t]+ 1。
THEOREM. Set A= k [x,, x1,.... x,] CxO, x,, _, _, xn,, where k is an infinite field, and let rU be an ideal of A generated by monomials in the xi and such that all its minimal prime over-ideals have height 6 t. Then ara, B< n-[n/t]+ 1.