Journal article

Primeness, semiprimeness and localisation in Iwasawa algebras

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 for the localisation at semiprime ideals related to the augmentation ideals of closed normal subgroups are found. 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.

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APA Style

Ardakov, K., & Brown, K. (2004). Primeness, semiprimeness and localisation in Iwasawa algebras. Transactions of the American Mathematical Society, 359(4), 1499–1515.

MLA Style

Ardakov, K., and K. Brown. “Primeness, Semiprimeness and Localisation in Iwasawa Algebras.” Transactions of the American Mathematical Society, vol. 359, no. 4, 2004, pp. 1499–515.

Chicago Style

Ardakov, K, and K Brown. 2004. “Primeness, Semiprimeness and Localisation in Iwasawa Algebras.” Transactions of the American Mathematical Society 359 (4): 1499–1515.
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Publisher copy:: 10.1090/S0002-9947-06-04153-5

Authors

+ Ardakov, K More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Brown, K More by this author

Role:: Author

Journal:: Transactions of the American Mathematical Society More from this journal
Volume:: 359
Issue:: 4
Pages:: 1499-1515
Publication date:: 2004-12-20
DOI:: 10.1090/S0002-9947-06-04153-5
ISSN:: 0002-9947

Language:: English
Keywords:: 16P50;16L30;20E18;11R23

math.NT

math.RA
Pubs id:: pubs:399416
UUID:: uuid:27587a1c-1f35-49c3-88d1-20cd9785815a
Local pid:: pubs:399416
Source identifiers:: 399416
Deposit date:: 2013-11-16

Terms of use

Copyright date:: 2004

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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