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
收藏
页码：1051 / 1059
页数：9
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