Structure of non-unital purely infinite simple rings
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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 $σ$-unital purely infinite simple C*-algebras in the purely algebraic context.
Revised version. This paper was accepted for publication in Communications in Algebra
Revised version. This paper was accepted for publication in Communications in Algebra