@misc{10498/18405, year = {2016}, month = {6}, url = {http://hdl.handle.net/10498/18405}, abstract = {Graph monoids arise naturally in the study of non-stable K-theory of graph C*-algebras and Leavitt path algebras. They play also an important role in the current approaches to the realization problem for von Neumann regular rings. In this paper, we characterize when a finitely generated conical refinement monoid can be represented as a graph monoid. The characterization is expressed in terms of the behavior of the structural maps of the associated I-system at the free primes of the monoid.}, organization = {Both authors are partially supported by the DGI-MINECO and European Regional Development Fund, jointly, through Project MTM2014-53644-P. The second author was partially supported by PAI III grant FQM-298 of the Junta de AndalucĂ­a.}, keywords = {Refinement monoid}, keywords = {regular monoid}, keywords = {primely generated monoid}, keywords = {graph monoid}, title = {Representing finitely generated refinement monoids as graph monoids}, author = {Ara, P. and Pardo Espino, Enrique}, }