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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. doi:10.1090/S0002-9939-2010-10547-6

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Official URL: http://dx.doi.org/10.1090/S0002-9939-2010-10547-6

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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:
DateEvent
March 2011Published
Volume: Vol.139
Number: No.3
Page Range: pp. 849-854
DOI: 10.1090/S0002-9939-2010-10547-6
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

Data sourced from Thomson Reuters' Web of Knowledge

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