Exchange Leavitt path algebras and stable rank

Identificadores
URI: http://hdl.handle.net/10498/16085
DOI: 10.1016/j.jalgebra.2005.12.009
ISSN: 0021-8693
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2006-01-01Department
MatemáticasSource
Journal of Algebra 305 (2006), 912-936Abstract
We characterize those 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.
Subjects
Graph; Leavitt path algebra; Exchange ring; Stable rankCollections
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