| Title | Computation of isotopisms of algebras over finite fields by means of graph invariants |
|---|---|
| Authors | VILLAR LIÑAN, MARIA TRINIDAD , NUÑEZ VALDES, JUAN , FALCON GANFORNINA, RAUL MANUEL , FALCON GANFORNINA, OSCAR JESUS , PACHECO MARTÍNEZ, ANA MARÍA |
| External publication | No |
| Means | J. Comput. Appl. Math. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 2 |
| JCR Impact | 1.632 |
| SJR Impact | 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 |
| Publication date | 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. |
| Keywords | Algebra; Computation theory; 05B15; 05C25; 05C30; Finite fields; Isomorphism; Latin square; Graph theory |
| Universidad Loyola members |