VILLAR LIÑAN, MARIA TRINIDAD , NUÑEZ VALDES, JUAN , FALCON GANFORNINA, RAUL MANUEL , FALCON GANFORNINA, OSCAR JESUS , PACHECO MARTÍNEZ, ANA MARÍA

No

J. Comput. Appl. Math.

Article

Científica

✓

✗

1.632

0.938

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84994504691&doi=10.1016%2fj.cam.2016.09.002&partnerID=40&md5=5ccc44558ebc7918797b3119320c934d

01/07/2017

000394067700030

2-s2.0-84994504691

10.1016/j.cam.2016.09.002

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.

Algebra; Computation theory; 05B15; 05C25; 05C30; Finite fields; Isomorphism; Latin square; Graph theory

• ANA MARÍA PACHECO MARTÍNEZ