RT journal article T1 Representing finitely generated refinement monoids as graph monoids A1 Ara, P. A1 Pardo Espino, Enrique A2 Matemáticas K1 Refinement monoid K1 regular monoid K1 primely generated monoid K1 graph monoid AB 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. YR 2016 FD 2016-06-14 LK http://hdl.handle.net/10498/18405 UL http://hdl.handle.net/10498/18405 LA eng NO 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 Andalucía. DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026