Computation of isotopisms of algebras over finite fields by means of graph invariants

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 th...

Descripción completa

Detalles Bibliográficos
Autores: Falcón Ganfornina, Óscar Jesús, Falcón Ganfornina, Raúl Manuel, Núñez Valdés, Juan, Pacheco Martínez, Ana María, Villar Liñán, María Trinidad
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/49913
Acceso en línea:http://hdl.handle.net/11441/49913
https://doi.org/10.1016/j.cam.2016.09.002
Access Level:acceso abierto
Palabra clave:Graph theory
Finite field
Isomorphism
Latin square
id ES_dcd4ac0b6ab0d79d1bb2b7d9102442fc
oai_identifier_str oai:idus.us.es:11441/49913
network_acronym_str ES
network_name_str España
repository_id_str
spelling Computation of isotopisms of algebras over finite fields by means of graph invariantsFalcón Ganfornina, Óscar JesúsFalcón Ganfornina, Raúl ManuelNúñez Valdés, JuanPacheco Martínez, Ana MaríaVillar Liñán, María TrinidadGraph theoryFinite fieldIsomorphismLatin squareIn 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.ElsevierMatemática Aplicada IGeometría y Topología2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/49913https://doi.org/10.1016/j.cam.2016.09.002reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Computational and Applied Mathematics, 318, 307-315https://doi.org/10.1016/j.cam.2016.09.002info:eu-repo/semantics/openAccessoai:idus.us.es:11441/499132026-06-17T12:51:07Z
dc.title.none.fl_str_mv Computation of isotopisms of algebras over finite fields by means of graph invariants
title Computation of isotopisms of algebras over finite fields by means of graph invariants
spellingShingle Computation of isotopisms of algebras over finite fields by means of graph invariants
Falcón Ganfornina, Óscar Jesús
Graph theory
Finite field
Isomorphism
Latin square
title_short Computation of isotopisms of algebras over finite fields by means of graph invariants
title_full Computation of isotopisms of algebras over finite fields by means of graph invariants
title_fullStr Computation of isotopisms of algebras over finite fields by means of graph invariants
title_full_unstemmed Computation of isotopisms of algebras over finite fields by means of graph invariants
title_sort Computation of isotopisms of algebras over finite fields by means of graph invariants
dc.creator.none.fl_str_mv Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
author Falcón Ganfornina, Óscar Jesús
author_facet Falcón Ganfornina, Óscar Jesús
Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
author_role author
author2 Falcón Ganfornina, Raúl Manuel
Núñez Valdés, Juan
Pacheco Martínez, Ana María
Villar Liñán, María Trinidad
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Matemática Aplicada I
Geometría y Topología
dc.subject.none.fl_str_mv Graph theory
Finite field
Isomorphism
Latin square
topic Graph theory
Finite field
Isomorphism
Latin square
description 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.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/49913
https://doi.org/10.1016/j.cam.2016.09.002
url http://hdl.handle.net/11441/49913
https://doi.org/10.1016/j.cam.2016.09.002
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Computational and Applied Mathematics, 318, 307-315
https://doi.org/10.1016/j.cam.2016.09.002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869421804677758976
score 15,301603

Similares en LA Referencia