Projective ideals of skew polynomial rings over HNP rings

被引：5
|
作者：
Akalan, E. [1 ]
Aydogdu, P. [1 ]
Marubayashi, H. [2 ]
Sarac, B. [1 ]
Ueda, A. [3 ]
机构：
[1] Hacettepe Univ, Dept Math, Beytepe Campus, TR-06800 Ankara, Turkey
[2] Tokushima Bunri Univ, Fac Sci & Engn, Sanuki, Kagawa, Japan
[3] Shimane Univ, Dept Math, Matsue, Shimane, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 06期
关键词：
Hereditary Noetherian prime ring; projective ideal; skew polynomial ring; NOETHERIAN PRIME-RINGS; ORDERS;
D O I：
10.1080/00927872.2016.1233216
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be an hereditary Noetherian prime ring (or, HNP-ring, for short), and let S = R[x; sigma] be a skew polynomial ring over R with sigma being an automorphism on R. The aim of the paper is to describe completely the structure of right projective ideals of R[x; sigma] where R is an HNP-ring and to obtain that any right projective ideal of S is of the form Xb[x; sigma], where X is an invertible ideal of S and b is a sigma-invariant eventually idempotent ideal of R.
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页码：2546 / 2556
页数：11
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