J Austral Math Soc Ser A 52 pp143--153, 1992.

Radical Theory for Graded Rings

Hongjin Fang and Patrick Stewart

(Received 26 January 1990)

Abstract

In this paper we propose a general setting in which to study the radical theory of group graded rings. If R is a radical class of associative rings we consider two associated radical classes of graded rings which are denoted by R^G and R_ref. We show that if R is special (respectively, normal), then both R^G and R_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.

1991 AMS Subject Classification: 16A03, 16A21

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Authors

Hongjin Fang: Yangzhou Teacher's College, Yangzhou, Jiangsu, People's Republic of China.
Patrick Stewart: Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5.

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Last Modified: Mon Feb 3 9:46:11 2003