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单词 Complete ring
释义

Complete ring

原声例句
Apple Watch

A complete ring means that you have stood for at least one minute in 12 different hours during the day.

当圆环闭合时,这意味着一天中的12个小时里,你每小时都至少站立了1分钟。

中文百科

完备化 (环论) Completion (algebra)

(重定向自Complete ring)

在交换代数中,可以探讨一个交换环 R 本身,或一个 R-模对一理想 I \subset R 的完备性。由于完备环有较容易处理的性质,完备化是研究交换环的基本工具。

几何上,交换环的完备化对应到一个闭子概形的形式邻域。

英语百科

Completion (algebra) 完备化 (环论)

(重定向自Complete ring)

In abstract algebra, a completion is any of several related functors on rings and modules that result in complete topological rings and modules. Completion is similar to localization, and together they are among the most basic tools in analysing commutative rings. Complete commutative rings have simpler structure than the general ones and Hensel's lemma applies to them. Geometrically, a completion of a commutative ring R concentrates on a formal neighborhood of a point or a Zariski closed subvariety of its spectrum Spec R.

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更新时间:2025/6/21 3:49:28