Geodesic
Localization in non-Noetherian group rings
Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 151-163

Voir la notice de l'article provenant de la source Cambridge University Press

Let k be a field and G an Abelian group of finite torsion-free rank. Brewer, Costa and Lady [1, Theorem A] showed that if k has characteristic 0 then each localization of the group algebra kG at a prime ideal is a regular local ring. They also showed (in the same theorem) that if k has characteristic p > 0, then kG is locally Noetherian (i.e. each localization of kG at a prime ideal is a Noetherian ring) if and only if G is an extension of a finitely generated group by a torsion p′-group. The purpose of this note is to examine this theorem in a more general setting. 
Smith, P. F. Localization in non-Noetherian group rings. Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 151-163. doi: 10.1017/S0017089500004304
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