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

页码：594 / 600

页数：7

共 50 条

[11] ORE EXTENSIONS OF NOETHERIAN PI-RINGS
OUARIT, A
COMMUNICATIONS IN ALGEBRA, 1992, 20 (06) : 1819 - 1837
[12] Ore extensions over duo rings
Matczuk, J
JOURNAL OF ALGEBRA, 2006, 297 (01) : 139 - 154
[13] MINIMAL PRIME IDEALS OF ORE OVER COMMUTATIVE DEDEKIND DOMAIN
Amir, Amir Kamal
Astuti, Pudji
Muchtadi-Alamsyah, Intan
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2010, 16 (02): : 101 - 107
[14] MODULES OVER BOUNDED DEDEKIND PRIME RINGS .1.
MARUBAYASHI, H
PROCEEDINGS OF THE JAPAN ACADEMY, 1971, 47 (06): : 519 - +
[15] PRIME FACTOR RINGS OF SKEW POLYNOMIAL RINGS OVER A COMMUTATIVE DEDEKIND DOMAIN
Wang, Y.
Amir, A. K.
Marubayashi, H.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2012, 42 (06) : 2055 - 2073
[16] MODULES OVER BOUNDED DEDEKIND PRIME RINGS .2.
MARUBAYA.H
PROCEEDINGS OF THE JAPAN ACADEMY, 1971, 47 (06): : 523 - &
[17] On generalized Dedekind prime rings
Akalan, E.
JOURNAL OF ALGEBRA, 2008, 320 (07) : 2907 - 2916
[18] Transparent Ore Extensions over sigma(*)-rings
Bhat, Vijay Kumar
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (03): : 221 - 229
[19] Ore Extensions over Total Valuation Rings
Hidetoshi Marubayashi
Algebras and Representation Theory, 2010, 13 : 607 - 622
[20] LOCALIZATIONS OF DEDEKIND PRIME RINGS
KUZMANOVICH, J
JOURNAL OF ALGEBRA, 1972, 21 (03) : 378 - +

← 1 2 3 4 5 →