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Smooth PI algebras with finite divisor class group
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Braun, A. and Hajarnavis, C. R.. (2011) Smooth PI algebras with finite divisor class group. Proceedings of the American Mathematical Society, Vol.139 (No.3). pp. 849-854. ISSN 0002-9939
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Official URL: http://dx.doi.org/10.1090/S0002-9939-2010-10547-6
Abstract
We have shown in an earlier paper that the divisor class group of the centre of a smooth PI algebra with trivial K(0) is a torsion group of finite exponent. We show here that this group need not be finite even in the affine case. Our example is an Azumaya algebra of global dimension 2. We also provide a positive result in a special case.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||
| Publisher: | American Mathematical Society | ||||
| ISSN: | 0002-9939 | ||||
| Official Date: | March 2011 | ||||
| Dates: |
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| Volume: | Vol.139 | ||||
| Number: | No.3 | ||||
| Page Range: | pp. 849-854 | ||||
| Identification Number: | 10.1090/S0002-9939-2010-10547-6 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| URI: | http://wrap.warwick.ac.uk/id/eprint/41816 |
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