Radical Theory for Granded Rings

Journal of the Australian Mathematical Society

Honghin Fang¹ 

[1] Patrick Stewart

关键词: 16 A 03;    16 A 21;   

DOI  :  10.1017/S1446788700034315

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we propose a general setting in which to study the radical theory of group graded rings. Ifis a radical class of associative rings we consider two associated radical classes of graded rings which are denoted by G and ref. We show that ifis special (respectively, normal), then both G and ref are graded special (respectively, graded normal). Also, we discuss a graded version of the ADS theorem and the termination of the Kurosh lower graded radical construction.

【 授权许可】

Unknown