ORE EXTENSIONS OVER PI G-DEDEKIND PRIME RINGS

被引：3
|
作者：
Akalan, Evrim [1 ]
机构：
[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
来源：
COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 02期
关键词：
G-Dedekind prime ring; Ore extension; Reflexive ideal; LOCALIZATION; ORDERS;
D O I：
10.1080/00927871003596222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, Ore extensions of the class of G-Dedekind prime rings satisfying a polynomial identity (PI) are studied. We prove that, if R is a PI G-Dedekind prime ring with an automorphism alpha of finite order, then R' = Rinverted right perpendicularx; alpha inverted left perpendicular is also a PI G-Dedekind prime ring.
引用
收藏
页码：594 / 600
页数：7
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