Título Computation of isotopisms of algebras over finite fields by means of graph invariants
Autores VILLAR LIÑAN, MARIA TRINIDAD , NUÑEZ VALDES, JUAN , FALCON GANFORNINA, RAUL MANUEL , FALCON GANFORNINA, OSCAR JESUS , PACHECO MARTÍNEZ, ANA MARÍA
Publicación externa No
Medio JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Alcance Article
Naturaleza Científica
Cuartil JCR 1
Cuartil SJR 2
Impacto JCR 1.632
Impacto SJR 0.938
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994504691&doi=10.1016%2fj.cam.2016.09.002&partnerID=40&md5=5ccc44558ebc7918797b3119320c934d
Fecha de publicacion 01/07/2017
ISI 000394067700030
Scopus Id 2-s2.0-84994504691
DOI 10.1016/j.cam.2016.09.002
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 three-dimensional partial quasigroup rings. © 2016 Elsevier B.V.
Palabras clave Algebra; Computation theory; 05B15; 05C25; 05C30; Finite fields; Isomorphism; Latin square; Graph theory
Miembros de la Universidad Loyola

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