SOME REMARKS ON STRONG MORI DOMAINS

被引：0

作者：

Chung, Weonil ^{[1
]}

Ha, Jaecheol ^{[1
]}

Kim, Hwankoo ^{[1
]}

机构：

[1] Hoseo Univ, Dept Informat Secur, Asan 336795, South Korea

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2012年 / 38卷 / 04期

关键词：

Strong Mori domain; Eakin-Nagata Theorem; Cohen's Theorem; t-linked extension; w-module; (co-) semi-divisorial module; w-null module; NORMALIZING EXTENSIONS; INJECTIVE-MODULES; NOETHERIAN RINGS; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for an extension R C T of domains such that T is a w-finite type R-module, if R is a strong Mori domain, then so is T; and its converse, the Eakin-Nagata Theorem for strong Mori domains, holds true with an additional assumption on the extension. We also present a variant of Cohen's Theorem for strong Mori domains.

引用

页码：1051 / 1059

页数：9

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