22 citations · 52 across the 18 of their papers we have counts for
5 papers · 1 filter
The Realization Problem for Finitely Generated Refinement Monoids
Pere Ara, Joan Bosa, Enrique Pardo
We show that every finitely generated conical refinement monoid can be represented as the monoid of isomorphism classes of finitely generated projective modules ove…
Leavitt path algebras over a poset of fields
Pere Ara
Let be a finite directed graph, and let be the poset obtained as the antisymmetrization of its set of vertices with respect to a pre-order that satisfies whe…
Refinement monoids and adaptable separated graphs
P. Ara, J. Bosa, E. Pardo
We define a subclass of separated graphs, the class of adaptable separated graphs, and study their associated monoids. We show that these monoids are primely generated conical refi…
Graded -Theory, Filtered -theory and the classification of graph algebras
Pere Ara, Roozbeh Hazrat, Huanhuan Li
We prove that an isomorphism of graded Grothendieck groups of two Leavitt path algebras induces an isomorphism of a certain quotient of algebraic filtered -theory and…
The groupoids of adaptable separated graphs and their type semigroup
Pere Ara, Joan Bosa, Enrique Pardo +1
Given an adaptable separated graph, we construct an associated groupoid and explore its type semigroup. Specifically, we first attach to each adaptable separated graph a correspond…