6 citations · 19 across the 11 of their papers we have counts for
12 papers
Decomposable Leavitt path algebras for arbitrary graphs
Gonzalo Aranda Pino, Alireza Nasr-Isfahani
For any field and for a completely arbitrary graph , we characterize the Leavitt path algebras that are indecomposable (as a direct sum of two-sided ideals) in term…
Realizing posets as prime spectra of Leavitt path algebras
Gene Abrams, Gonzalo Aranda Pino, Zachary Mesyan +1
We associate in a natural way to any partially ordered set a directed graph (where the vertices of correspond to the elements of , and the edges of …
Endomorphism rings of Leavitt path algebras
Gonzalo Aranda Pino, Kulumani Rangaswamy, Mercedes Siles Molina
We investigate conditions under which the endomorphism ring of the Leavitt path algebra possesses various ring and module-theoretical properties such as being von Neuman…
Atlas of Leavitt Path Algebras of small graphs
Pablo Alberca Bjerregaard, Gonzalo Aranda Pino, Dolores Martín Barquero +2
The aim of this work is the description of the isomorphism classes of all Leavitt path algebras coming from graphs satisfying Condition (Sing) with up to three vertices. In particu…
Kumjian-Pask algebras of higher-rank graphs
Gonzalo Aranda Pino, John Clark, Astrid an Huef +1
We introduce higher-rank analogues of the Leavitt path algebras, which we call the Kumjian-Pask algebras. We prove graded and Cuntz-Krieger uniqueness theorems for these algebras,…
Non-simple purely infinite rings
Gonzalo Aranda Pino, Ken Goodearl, Francesc Perera +1
In this paper we introduce the concept of purely infinite rings, which in the simple case agrees with the already existing notion of pure infiniteness. We establish various permane…