Document Type

Peer-Reviewed Article

Publication Date

12-2004

Abstract

Prime ideals of strong semigroup graded rings have been characterized by Bell, Stalder and Teply for some important classes of semigroups. The prime ideals correspond to certain families of ideals of the component rings called prime families. In this paper, we define the notion of a primitive family and show that primitive ideals of such rings correspond to primitive families of ideals of the component rings.

Download
Link to Publisher Version


Included in

Algebra Commons

Share

COinS