SOME RESULTS ON PRIME SKEW RINGS

被引：0

作者：

Ghosseiri, Nader M. ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Math, Sanandaj 416, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 02期

关键词：

delta-Prime ring; sigma-Prime ring; delta-Semiprime ring; sigma-Semiprime ring; Skew Laurent polynomial ring; Skew Laurent series; Skew polynomial ring;

D O I：

10.1080/00927872.2010.538104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with identity, sigma be an automorphism, and delta be a derivation of R. In this article, we present some necessary and sufficient conditions on R such that the skew polynomial rings R[x, x(-1); sigma], R((x; sigma)), and R[x; delta] are prime or semiprime.

引用

页码：779 / 783

页数：5

共 50 条

[11] Skew Codes over Rings
Abualrub, Taher
Seneviratne, Padmapani
INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS (IMECS 2010), VOLS I-III, 2010, : 846 - 847
[12] Derivations and skew polynomial rings
Chuang, Chen-Lian
Lee, Tsiu-Kwen
COMMUNICATIONS IN ALGEBRA, 2007, 35 (02) : 527 - 539
[13] Cancellation in skew polynomial rings
Bergen, Jeffrey
COMMUNICATIONS IN ALGEBRA, 2018, 46 (02) : 705 - 707
[14] On the Semiprimitivity of Skew Polynomial Rings
Ahmad Moussavi
Ebrahim Hashemi
Mediterranean Journal of Mathematics, 2007, 4 : 375 - 381
[15] Skew polynomial rings of formal triangular matrix rings
Ghahramani, Hoger
JOURNAL OF ALGEBRA, 2012, 349 (01) : 201 - 216
[16] On skew polynomial rings over locally nilpotent rings
Chen, Fei Yu
Hagan, Hannah
Wang, Allison
COMMUNICATIONS IN ALGEBRA, 2019, 47 (03) : 1102 - 1104
[17] Factor rings of skew polynomial rings over a finite field
L. Oyuntsetseg
Acta Mathematica Hungarica, 2015, 147 : 73 - 80
[18] FACTOR RINGS OF SKEW POLYNOMIAL RINGS OVER A FINITE FIELD
Oyuntsetseg, L.
ACTA MATHEMATICA HUNGARICA, 2015, 147 (01) : 73 - 80
[19] On skew Laurent polynomial rings over locally nilpotent rings
Chebotar, Mikhail
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 549 : 287 - 290
[20] Projective ideals of skew polynomial rings over HNP rings
Akalan, E.
Aydogdu, P.
Marubayashi, H.
Sarac, B.
Ueda, A.
COMMUNICATIONS IN ALGEBRA, 2017, 45 (06) : 2546 - 2556

← 1 2 3 4 5 →