Derivations and bounded nilpotence index
Derivations and bounded nilpotence index
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导数和有界幂幂指数
DOI：
10.1142/s0218196715500034
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
M. Ziembowski
中科院分区：
文献类型：
--
作者：
Pace P. Nielsen;M. Ziembowski
我们构造了一个诣零环R，R的有界指数为2，R是Wedderburn根，R是交换的，R的导子δ使得微分多项式环R[x;δ]不是偶素根.这个例子给出了一个强有力的障碍，以提升某些激进的性质，从环微分多项式环。它也划分了最近的结果的强度局部幂零PI环。
We construct a nil ring R which has bounded index of nilpotence 2, is Wedderburn radical, and is commutative, and which also has a derivation δ for which the differential polynomial ring R[x;δ] is not even prime radical. This example gives a strong barrier to lifting certain radical properties from rings to differential polynomial rings. It also demarcates the strength of recent results about locally nilpotent PI rings.