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Communications in Algebra Volume 34, 2006 - Issue 2
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Original Articles

Structure of Nonunital Purely Infinite Simple Rings

M. A. González-Barroso Departamento de Matemáticas, Universidad de Cádiz, Cádiz, SpainCorrespondence[email protected]
&
E. Pardo Departamento de Matemáticas, Universidad de Cádiz, Cádiz, Spain
Pages 617-624 | Received 04 Oct 2004, Published online: 03 Sep 2006
 
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ABSTRACT

In this note, we study the notion of purely infinite simple ring in the case of nonunital rings, and we obtain an analog to Zhang's Dichotomy for σ-unital purely infinite simple C*-algebras in the purely algebraic context.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

We thank P. Ara for valuable discussions during the preparation of this note.

The first author was supported by an FPU fellowship of the Junta de Andalucía. Both authors are partially supported by the DGI and European Regional Development Fund, jointly, through Project MTM2004-00149, and by PAI III grant FQM-298 of the Junta de Andalucía. Also, the second author is partially supported by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya.

Notes

Communicated by A. Facchini.

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