arXiv subjects

M. Siles-Molina

Publications and source records attributed to M. Siles-Molina.

2 recordsLinked to original sources

arXiv2007

Prime spectrum and primitive Leavitt path algebras

In this paper a bijection between the set of prime ideals of a Leavitt path algebra $L_K(E)$ and a certain set which involves maximal tails in $E$ and the prime spectrum of $K[x,x^{-1}]$ is established. Necessary and sufficient conditions on the graph $E$ so that the Leavitt path algebra $L_K(E)$ is primitive are also found.

math.RA↗

arXiv2005

Exchange Leavitt path algebras and stable rank

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.

math.RA↗