publication . Conference object . 2016

A faithful functor among algebras and graphs

Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad; Vigo Aguiar, Jesús (Coordinador);
Open Access English
  • Published: 01 Jan 2016
  • Publisher: Computational and Mathematical Methods in Science and Engineering
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.
Subjects
acm: TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMathematicsofComputing_DISCRETEMATHEMATICSComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
arxiv: Mathematics::Category Theory
free text keywords: Graph theory, Finite field, Algebra, Isotopism, Isomorphism, Invariant
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