Primeness, semiprimeness and localisation in Iwasawa algebras

Ardakov, K. and Brown, K.A. (2007) Primeness, semiprimeness and localisation in Iwasawa algebras. Transactions of the American Mathematical Society, 359, pp. 1499-1515. (doi: 10.1090/S0002-9947-06-04153-5)

Abstract

Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elements to be prime, semiprime and a domain. Necessary and sufficient conditions are found for the localisation at semiprime ideals related to the augmentation ideals of closed normal subgroups. Some information is obtained about the Krull and global dimensions of the localisations. The results extend and complete work of A. Neumann and J. Coates et al.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Brown, Professor Ken
• Authors: Ardakov, K., and Brown, K.A.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Transactions of the American Mathematical Society
• ISSN: 0002-9947
• ISSN (Online): 1088-6850
• Published Online: 03 November 2006