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Article
Primitive Ideals of Semigroup Graded Rings
Mathematics Faculty Publications
Document Type
Peer-Reviewed Article
Publication Date
12-1-2004
Disciplines
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.
Citation Information
Gopalakrishnan, H. (2004). Primitive ideals of semigroup graded rings. Kyungpook Mathematics Journal, 44(4), 565-573.