The exchange property for purely infinite simple rings
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Abstract:
It is proven that every purely infinite simple ring is an exchange ring. This result is applied to determine those Leavitt algebras that are exchange rings.References
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Additional Information
- Pere Ara
- Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain
- MR Author ID: 206418
- Email: para@mat.uab.es
- Received by editor(s): March 15, 2003
- Received by editor(s) in revised form: May 30, 2003
- Published electronically: March 25, 2004
- Additional Notes: The author was partially supported by MEC-DGESIC, and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya.
- Communicated by: Martin Lorenz
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2543-2547
- MSC (2000): Primary 16E50, 16D30
- DOI: https://doi.org/10.1090/S0002-9939-04-07369-1
- MathSciNet review: 2054778