Publication details
Pullback crossed modules in the category of racks
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Periodical |
| Magazine / Source | Hacettepe Journal of Mathematics and Statistics |
| MU Faculty or unit | |
| Citation | |
| Web | http://dergipark.gov.tr/hujms/issue/43219/524417 |
| Doi | http://dx.doi.org/10.15672/HJMS.2017.532 |
| Keywords | rack, crossed module, limit |
| Description | In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows. Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules. |