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Exchange Leavitt path algebras and stable rank
G. Aranda-Pino, E. Pardo, M. Siles-Molina
We characterize Leavitt path algebras which are exchange rings in terms of intrinsic properties of the graph and show that the values of the stable rank for these algebras are 1, 2…
Nonstable -theory for graph algebras
P. Ara, M. A. Moreno, E. Pardo
We compute the monoid of isomorphism classes of finitely generated projective modules over certain graph algebras , and we show that this monoid satisfies the r…
Structure of non-unital purely infinite simple rings
M. A. González-Barroso, E. Pardo
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 -unital purely infinite simple…
of purely infinite simple regular rings
P. Ara, K. R. Goodearl, E. Pardo
We extend the notion of a purely infinite simple C*-algebra to the context of unital rings, and we study its basic properties, specially those related to K-Theory. For instance, if…