Exchange Leavitt path algebras and stable rank

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

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 $\infty$. Concrete criteria in terms of
properties of the underlying graph are given for each case.

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