Actions of internal groupoids in the category of Leibniz algebras
| dc.contributor.author | Şahan, Tunçar | |
| dc.contributor.author | Erciyes, Ayhan | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-10-28T07:10:38Z | |
| dc.date.available | 2021-10-28T07:10:38Z | |
| dc.date.issued | 2019-02-01 | |
| dc.description.abstract | The aim of this paper is to characterize the notion of internal category (groupoid) in the category of Leibniz algebras and investigate some properties of well-known notions such as covering groupoids and groupoid operations (actions) in this category. Further, for a fixed internal groupoid G in the category of Leibniz algebras, we prove that the category of covering groupoids of G and the category of internal groupoid actions of G on Leibniz algebras are equivalent. Finally, we interpret the corresponding notion of covering groupoids in the category of crossed modules of Leibniz algebras. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 632 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 619 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.453582 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75805 | |
| dc.identifier.volume | 68 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.453582 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Leibniz algebra | tr_TR |
| dc.subject | Groupoid action | tr_TR |
| dc.subject | Covering | tr_TR |
| dc.title | Actions of internal groupoids in the category of Leibniz algebras | tr_TR |
| dc.type | Article | tr_TR |