Jacobson radicals of ring extensions

被引：10

作者：

Bergen, Jeffrey ^{[1
]}

Grzeszczuk, Piotr ^{[2
]}

机构：

[1] Depaul Univ, Dept Math, Chicago, IL 60614 USA

[2] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2012年 / 216卷 / 12期

关键词：

D O I：

10.1016/j.jpaa.2012.03.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend existing results on the Jacobson radical of skew polynomial rings of derivation type when the base ring has no nonzero nil ideals. We then move to the more general situation of algebras with locally nilpotent skew derivations and examine the Jacobson radical of the algebra when the subalgebra of invariants has no nonzero nil ideals. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2601 / 2607

页数：7

共 7 条

[1]

Amitsur S A., 1956, CAN J MATH, V8, P355

[2] JACOBSON RADICAL OF SKEW POLYNOMIAL-RINGS AND SKEW GROUP-RINGS [J].