A CHARACTERIZATION OF NON-NOETHERIAN BFDS AND FFDS

被引：1

作者：

Hasenauer, Richard Erwin ^{[1
]}

机构：

[1] 600 N Grand Ave, Tahlequah, OK 74464 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 04期

关键词：

Factorization; commutative rings; DEDEKIND DOMAINS; IDEALS; FACTORIZATION;

D O I：

10.1216/RMJ-2017-47-4-1149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Characterizations of bounded and finite factorization domains are given using topological notions. Using our characterizations, the almost Dedekind domain and Prufer domain constructed by Grams [3] are shown to be a BFD and an FFD, respectively. For a class of almost Dedekind (not Dedekind) domains it is shown that satisfying the ascending chain condition for principal ideals implies BFD.

引用

页码：1149 / 1157

页数：9

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