Exchange Leavitt path algebras and stable rank

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URI: http://hdl.handle.net/10498/16085

DOI: 10.1016/j.jalgebra.2005.12.009

ISSN: 0021-8693

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Author/s
Aranda-Pino, G.; Pardo Espino, EnriqueAuthority UCA; Siles-Molina, M.
Date
2006-01-01
Department
Matemáticas
Source
Journal of Algebra 305 (2006), 912-936
Abstract
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 rank
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