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4 papers
Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras
A. Pourabbas, M. Imanfar, H. Larki
Let be an ultragraph and let be a field. We describe prime and primitive ideals in the ultragraph Leavitt path algebra . We identify the graded pr…
A dichotomy for simple self-similar graph -algebras
Hossein Larki
We investigate the pure infiniteness and stable finiteness of the Exel-Pardo -algebras for countable self-similar graphs . In particular, we assoc…
Non-simple purely infinite Steinberg Algebras with applications to Kumjian-Pask algebras
Hossein Larki
In this paper, we characterize properly purely infinite Steinberg algebras for strongly effective, ample Hausdorff groupoids . As an application, wh…
Stable rank of Leavitt path algebras of arbitrary graphs
Hossein Larki, Abdolhamid Riazi
The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed…