- Ikonion Journal of Mathematics
- Volume:4 Issue:2
- Completeness of the Category of Rack Crossed Modules
Completeness of the Category of Rack Crossed Modules
Authors : Hatice GÜLSÜN AKAY, İbrahim İlker AKÇA
Pages : 56-68
Doi:10.54286/ikjm.1199290
View : 24 | Download : 8
Publication Date : 2022-12-31
Article Type : Research Paper
Abstract :In this paper, we prove that the category of rack crossed modules insert ignore into journalissuearticles values(with a fixed codomain); is finitely complete. In other words, we construct the product, pullback and equalizer objects in the category of crossed modules of racks. We therefore unify the group-theoretical analogy of the completeness property in the sense of the functor $\\mathbf{Conj \\colon Grp \\to Rack} $.Keywords : Crossed module, limit, rack