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Computation of isotopisms of algebras over finite fields by means of graph invariants

 

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Opened Access Computation of isotopisms of algebras over finite fields by means of graph invariants
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Author: Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2017-07
Published in: Journal of Computational and Applied Mathematics, 318, 307-315
Document type: Article
Abstract: In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually required to determine whether two algebras are isomorphic. In order to illustrate their efficiency, we determine explicitly the classification of two- and threedimensional partial quasigroup rings.
Cite: Falcón Ganfornina, Ó.J., Falcón Ganfornina, R.M., Núñez Valdés, J. y Pacheco Martínez, A.M. (2016). Computation of isotopisms of algebras over finite fields by means of graph invariants. Journal of Computational and Applied Mathematics
Size: 240.0Kb
Format: PDF

URI: http://hdl.handle.net/11441/49913

DOI: 10.1016/j.cam.2016.09.002

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