Artículo
Computation of isotopisms of algebras over finite fields by means of graph invariants
Autor/es | Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel Núñez Valdés, Juan Pacheco Martínez, Ana María Villar Liñán, María Trinidad |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2017-07 |
Fecha de depósito | 2016-12-09 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | 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 |
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