6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.RA2005
Purely infinite simple Leavitt path algebras
G. Abrams, G. Aranda Pino
We give necessary and sufficient conditions on a row-finite graph E so that the Leavitt path algebra L(E) is purely infinite simple. This result provides the algebraic analog to th…
math.RA2005★ 6 cited
The Leavitt path algebra of a graph
G. Abrams, G. Aranda Pino
For any row-finite graph and any field we construct the {\its Leavitt path algebra} having coefficients in . When is the field of complex numbers, then …
math.RA2005
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…