Jordan, Camilla
(1975).
| DOI (Digital Object Identifier) Link: | http://dx.doi.org/doi:10.1112/jlms/s2-11.3.369 |
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| Google Scholar: | Look up in Google Scholar |
Abstract
A well known problem in group rings asks whether the Jacobson radical is always a nil ideal [9; Problem 15, page 132]. This has been answered in the affirmative for a number of special cases where either the ring or the group is restricted; see, for example, [3], [10]. In particular Formanek has recently shown that group rings of free products are primitive [1]. In this paper we consider the case where the group is a free product with amalgamation. We obtain two main results.
| Item Type: | Journal Article |
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| Copyright Holders: | 1975 London Mathematical Society |
| ISSN: | 1469-7750 |
| Extra Information: | MR number MR0419507.
Abstract references: 1. E. Formanek, "Group rings of free products are primitive", Algebra, 26 (1973), 508-511. 3. J. A. Green and S. E. Stonehewer, "The radicals of some group algebras", Algebra, 13 (1969), 137-142. 9. D. S. Passman, Infinite group rings (Marcel Dekker, New York, 1971). 10. D. A. R. Wallace, "The Jacobson radicals of group algebras of a group and of certain normal subgroups", Math. Z., 100 (1967), 282-294. |
| Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics |
| Item ID: | 31528 |
| Depositing User: | Camilla Jordan |
| Date Deposited: | 09 Feb 2012 11:20 |
| Last Modified: | 16 Feb 2012 12:45 |
| URI: | http://oro.open.ac.uk/id/eprint/31528 |
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