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

共 50 条

[21] THE McCOY CONDITION ON SKEW POLYNOMIAL RINGS
Baser, Muhittin
Kwak, Tai Keun
Lee, Yang
COMMUNICATIONS IN ALGEBRA, 2009, 37 (11) : 4026 - 4037
[22] Nilpotent Elements and Skew Polynomial Rings
Alhevaz, A.
Moussavi, A.
Hashemi, E.
ALGEBRA COLLOQUIUM, 2012, 19 : 821 - 840
[23] Skew Codes over Rings
Abualrub, Taher
Seneviratne, Padmapani
INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS (IMECS 2010), VOLS I-III, 2010, : 846 - 847
[24] ON COEFFICIENTS OF NILPOTENT POLYNOMIALS IN SKEW POLYNOMIAL RINGS
Nam, Sang Bok
Ryu, Sung Ju
Yun, Sang Jo
KOREAN JOURNAL OF MATHEMATICS, 2013, 21 (04): : 421 - 428
[25] ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS
Alhevaz, A.
Moussavi, A.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (04)
[26] ON IRREDUCIBLE MODULES OVER q-SKEW POLYNOMIAL RINGS AND SMASH PRODUCTS
Grzeszczuk, Piotr
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (01) : 59 - 69
[27] QUASI-ARMENDARIZ PROPERTY FOR SKEW POLYNOMIAL RINGS
Baser, Muhittin
Kwak, Tai Keun
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (04): : 557 - 573
[28] Simple modules and their essential extensions for skew polynomial rings
Ken Brown
Paula A. A. B. Carvalho
Jerzy Matczuk
Mathematische Zeitschrift, 2019, 291 : 877 - 903
[29] INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS
Baser, Muhittin
Hicyilmaz, Begum
Kaynarca, Fatma
Kwak, Tai Keun
Lee, Yang
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1161 - 1178
[30] Simple modules and their essential extensions for skew polynomial rings
Brown, Ken
Carvalho, Paula A. A. B.
Matczuk, Jerzy
MATHEMATISCHE ZEITSCHRIFT, 2019, 291 (3-4) : 877 - 903

← 1 2 3 4 5 →