Groups up to congruence relation and from categorical groups to c-crossed modules
| dc.authorid | 0000-0002-6552-4695 | |
| dc.contributor.author | Datuashvili, Tamar | |
| dc.contributor.author | Mucuk, Osman | |
| dc.contributor.author | Şahan, Tunçar | |
| dc.date.accessioned | 2021-06-07T07:37:36Z | |
| dc.date.available | 2021-06-07T07:37:36Z | |
| dc.date.issued | 2020 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description | Şahan, Tunçar ( Aksaray, Yazar ) | |
| dc.description.abstract | We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) are defined in this category and the semi-direct product is constructed. We prove that each categorical group gives rise to a c-group and to a c-crossed module, which is a connected, special and strict c-crossed module in the sense defined by us. The results obtained here will be applied in the proof of an equivalence of the categories of categorical groups and connected, special and strict c-crossed modules. | |
| dc.identifier.doi | 10.1007/s40062-020-00270-4 | |
| dc.identifier.endpage | 640 | en_US |
| dc.identifier.issue | 3-4 | en_US |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 625 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/8068 | |
| dc.identifier.volume | 15 | en_US |
| dc.identifier.wos | WOS:000591232500001 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | |
| dc.relation.ispartof | Journal of Homotopy and Related Structures | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Action | |
| dc.subject | C-crossed Module | |
| dc.subject | Categorical Group | |
| dc.subject | Group up to Congruence Relation | |
| dc.title | Groups up to congruence relation and from categorical groups to c-crossed modules | |
| dc.type | Article |
