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A faithful functor among algebras and graphs


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Author: Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
Coordinator/Director: Vigo Aguiar, Jesús
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2016
Published in: 16th International Conference on Computational and Mathematical Methods in Science and Engineering (2016),
ISBN/ISSN: 9788460860822
Document type: Presentation
Abstract: The problem of identifying a functor between the categories of algebras and graphs is currently open. Based on a known algorithm that identifies isomorphisms of Latin squares with isomorphism of vertex-colored graphs, we describe here a pair of graphs that enable us to find a faithful functor between finite-dimensional algebras over finite fields and these graphs.
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