候选人名单 发表于 2025-3-21 18:31:58
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http://reply.papertrans.cn/93/9264/926324/926324_3.pngRobust 发表于 2025-3-22 08:21:14
Completions of finitely generated modules. Flatness and faithful flatness,In this paragraph we shall consider essentially completions of finitely generated modules, in particular finitely generated modules over a noetherian ring ..fodlder 发表于 2025-3-22 10:48:41
Noetherian properties of m-adic completions,The aim of this paragraph is to show that the noetherian property is preserved by ĉ-adic completions. Using some facts stated in § 3, it is now possible to give an immediate proof of this result.把…比做 发表于 2025-3-22 16:16:14
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Dimension of m-completions,We recall the classical definition of the dimension (Krull dimension) of a commutative ring ..epicardium 发表于 2025-3-22 23:13:55
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Integrity of m-completions,In this section we show (Th. 10.6) that with suitable conditions on the rings . and ./ĉ, the ĉ-completion of . is a domain. ..