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