dc.contributor.author | Jaikin Zapirain, Andrés | |
dc.contributor.other | UAM. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2022-03-07T11:42:21Z | |
dc.date.available | 2022-03-07T11:42:21Z | |
dc.date.issued | 2021-07-28 | |
dc.identifier.citation | Selecta Mathematica (New Series) 27.4 (2021): 74 | en_US |
dc.identifier.issn | 1022-1824 (print) | en_US |
dc.identifier.issn | 1420-9020 (online) | en_US |
dc.identifier.uri | http://hdl.handle.net/10486/700617 | |
dc.description.abstract | Let E∗ G be a crossed product of a division ring E and a locally indicable group G. Hughes showed that up to E∗ G-isomorphism, there exists at most one Hughes-free division E∗G-ring. However, the existence of a Hughes-free division E∗ G-ring DE∗G for an arbitrary locally indicable group G is still an open question. Nevertheless, DE∗G exists, for example, if G is amenable or G is bi-orderable. In this paper we study, whether DE∗G is the universal division ring of fractions in some of these cases. In particular, we show that if G is a residually-(locally indicable and amenable) group, then there exists DE[G] and it is universal. In Appendix we give a description of DE[G] when G is a RFRS group | en_US |
dc.description.sponsorship | This paper is partially supported by the Spanish Ministry of Science and Innovation through the grant MTM2017-82690-P and the “Severo Ochoa Programme for Centres of Excellence in R&D” (CEX2019-000904-S4). I would like to thank Dawid Kielak and an anonymous referee for useful suggestions and comments | en_US |
dc.format.extent | 33 pag. | es_ES |
dc.format.mimetype | application/pdf | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | en_US |
dc.relation.ispartof | Selecta Mathematica, New Series | en_US |
dc.rights | © The Author(s) 2021 | en_US |
dc.subject.other | Hughes-free division ring | en_US |
dc.subject.other | Locally indicable groups | en_US |
dc.subject.other | Universal division ring of fractions | en_US |
dc.title | The universality of Hughes-free division rings | en_US |
dc.type | article | en_US |
dc.subject.eciencia | Matemáticas | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00029-021-00691-w | es_ES |
dc.identifier.doi | 10.1007/s00029-021-00691-w | es_ES |
dc.identifier.publicationfirstpage | 74-1 | es_ES |
dc.identifier.publicationissue | 4 | es_ES |
dc.identifier.publicationlastpage | 74-33 | es_ES |
dc.identifier.publicationvolume | 27 | es_ES |
dc.relation.projectID | Gobierno de España. MTM2017-82690-P | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.rights.cc | Reconocimiento | es_ES |
dc.rights.accessRights | openAccess | en_US |
dc.authorUAM | Jaikin Zapirain, Andrés (258453) | |
dc.facultadUAM | Facultad de Ciencias | es_ES |