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arXiv 0911.4196math.AC
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主素理想的半局部形式纤维

Semilocal formal fibers of principal prime ideals

John Chatlos, Brian Simanek, Nathaniel G. Watson, Sherry X. Wu

摘要:

设(T,m)是完备局部(Notherian)环,C是T的两两不可比较非极大素理想的有限集,p是非零元.给出了T是包含素理想PA的整环A的完备化的充要条件,PA的形式纤维是半局部的,C的元素是极大理想.

英文摘要:

Let (T,m) be a complete local (Notherian) ring, C a finite set of pairwise incomparable nonmaximal prime ideals of T, and p a nonzero element. We provide necessary and sufficient conditions for T to be the completion of an integral domain A containing the prime ideal pA whose formal fiber is semilocal with maximal ideals the elements of C.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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