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.

引用

页码：2546 / 2556

页数：11

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