%0 Journal Article 
%A Ara, P.
%A Pardo Espino, Enrique
%T Representing finitely generated refinement monoids as graph monoids
%D 2016
%U http://hdl.handle.net/10498/18405
%X 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.
%K Refinement monoid
%K regular monoid
%K primely generated monoid
%K graph monoid
%~ Universidad de Cádiz