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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

✓

SJR Quartile

✗

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

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