Smooth pi algebras with finite divisor class group

A. Braun, C. R. Hajarnavis

Research output: Contribution to journalArticlepeer-review


We have shown in an earlier paper that the divisor class group of the centre of a smooth PI algebra with trivial K0 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.

Original languageEnglish
Pages (from-to)849-854
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - Mar 2011

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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