The root closure of a ring of mixed characteristic

The root closure of a ring of mixed characteristic
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混合特征环的根闭合

DOI:
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发表时间:
2008
期刊:
arXiv: Commutative Algebra
影响因子:
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通讯作者:
P. Roberts
P. Roberts
中科院分区:
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文献类型:
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作者:
P. Roberts

文献摘要

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我们为混合特征的环定义一个闭包操作,并验证该闭包是一个环。然后我们证明这种闭包产生的环相对于其方丹环具有良好的属性,并给出一个例子来表明在这种意义上不闭包的环不满足这些属性。
We define a closure operation for rings of mixed characteristic and verify that the closure is a ring. We then show that this closure produces a ring with good properties with respect to its Fontaine ring and give an example to show that rings that are not closed in this sense do not satisfy these properties.