Abstract
Necessary and sufficient conditions are given for the completed group algebras of a compactpp-adic analytic group with coefficient ring thepp-adic integers or the field ofppelements 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. Coateset al.
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