@misc{10498/21181,
year = {2019},
month = {4},
url = {http://hdl.handle.net/10498/21181},
abstract = {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 refinement monoids, and we explicitly determine their associated I-systems. We also show that any finitely generated conical refinement monoid can be represented as the monoid of an adaptable separated graph. These results provide the first step toward an affirmative answer to the Realization Problem for von Neumann regular rings, in the finitely generated case.},
organization = {First, second and third authors are partially supported by the DGI-MINECO and European Regional Development Fund, jointly, through grants MTM2014-53644-P and MTM2017-83487-P. First and second au- thor acknowledge support from the Spanish Ministry of Economy and Competitiveness, through the Mar ́ıa de Maeztu Programme for Units of Excellence in R&D (MDM-2014-0445). Third author was partially supported by PAI III grant FQM-298 of the Junta de Andaluc ́ıa.},
publisher = {arXiv.org},
keywords = {Steinberg algebra},
keywords = {Refinement monoid},
keywords = {Type semigroup},
title = {Refinement monoids and adaptable separated graphs},
author = {Ara, Pere and Bosa, Joan and Pardo Espino, Enrique},
}