The group of strong Galois objects associated to a cocommutative Hopf quasigroup

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticasgl
dc.contributor.authorAlonso Álvarez, José Nicanor
dc.contributor.authorFernández Vilaboa, José Manuel
dc.contributor.authorGonzález Rodríguez, Ramón
dc.date.accessioned2018-11-02T09:13:04Z
dc.date.available2018-11-02T09:13:04Z
dc.date.issued2017
dc.description.abstractLet H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H-objects is a (group) monoid which coincides, in the Hopf algebra setting, with the Galois group of H-Galois objects introduced by Chase and Sweedlergl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe authors were supported by Ministerio de Economía y Competitividad (Spain) and by Feder founds. Project MTM2013-43687-P: Homología, homotopía e invariantes categóricos en grupos y álgebras no asociativasgl
dc.identifier.citationAlvarez, J., Rodriguez, R., & Vilaboa, J. (2017). THE GROUP OF STRONG GALOIS OBJECTS ASSOCIATED TO A COCOMMUTATIVE HOPF QUASIGROUP. Journal Of The Korean Mathematical Society, 54(2), 517-543. doi: 10.4134/jkms.j160118gl
dc.identifier.doi10.4134/JKMS.j160118
dc.identifier.essn2234-3008
dc.identifier.issn0304-9914
dc.identifier.urihttp://hdl.handle.net/10347/17664
dc.language.isoenggl
dc.publisherKorean Mathematical Societygl
dc.relation.publisherversionhttps://doi.org/10.4134/JKMS.j160118gl
dc.rights© Korean Mathematical Society, 2017. This article is licensed under a Creative Commons Attribution-NonComercial 4.0 International Licensegl
dc.rightsAtribución-NoComercial 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectMonoidal categorygl
dc.subjectUnital magmagl
dc.subjectHopf quasigroupgl
dc.subject(strong) Galois H-objectgl
dc.subjectGalois groupgl
dc.subjectNormal basisgl
dc.titleThe group of strong Galois objects associated to a cocommutative Hopf quasigroupgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublicationcc46537b-c821-49ea-a3a1-2ae2e2479c10
relation.isAuthorOfPublication.latestForDiscoverycc46537b-c821-49ea-a3a1-2ae2e2479c10

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2017_jmks_alonso_group_strong.pdf
Size:
239.76 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Matemáticas