Structure of non-unital purely infinite simple rings

Details Structure of non-unital purely infinite simple rings Structure of non-unital purely infinite simple rings

2004-10-04

arxiv.org/abs/math/0410049v2

Mathematics

Rings and Algebras

Revised version. This paper was accepted for publication in Communications in Algebra

Scientific paper

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

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