Primitive ideals of algebras

Primitive ideals of algebras

We prove the equivalence of two of Dixmier's conditions on primitive ideals, in a general ring-theoretic setting, and show that they are equivalent to a condition on the extended centroid.

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Veröffentlicht in:Communications in algebra 1997-01, Vol.25 (12), p.3853-3857
Hauptverfasser: Rowen, Louis H, Small, Lance
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove the equivalence of two of Dixmier's conditions on primitive ideals, in a general ring-theoretic setting, and show that they are equivalent to a condition on the extended centroid.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927879708826091