Exchange Leavitt path algebras and stable rank

2005/09/02 by G. Aranda-Pino, Aranda-Pino, G., E. Pardo +3
Mathematics · #16D70 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16D70

paper · pdf · doi:10.48550/arxiv.math/0509035

arxiv created 2005/09/02 · arxiv updated 2009/12/01

Abstract

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 or ∞. Concrete criteria in terms of properties of the underlying graph are given for each case.

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