A NOTE ON LPI DOMAINS

被引：4
|
作者：
Hu, Kui [1 ]
Wang, Fanggui [2 ]
Chen, Hanlin [1 ]
机构：
[1] Southwest Univ Sci & Technol, Coll Sci, Mianyang 621010, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610068, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期
关键词：
faithfully flat module; LPI domain; polynomial ring; FLAT IDEALS;
D O I：
10.4134/BKMS.2013.50.3.719
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A domain is called an LPI domain if every locally principal ideal is invertible. It is proved in this note that if D is a LPI domain, then D[X] is also an LPI domain. This fact gives a positive answer to an open question put forward by D. D. Anderson and M. Zafrullah.
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页码：719 / 725
页数：7
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