Liftings of crossed modules in the category of groups with operations

Fulya Akız, HürmetMucuk, OsmanŞahan, Tuncar2020-02-112020-02-1120200037-8712https:/dx.doi.org/10.5269/bspm.v38i7.46500https://hdl.handle.net/20.500.12451/7159Şahan, Tuncar ( Aksaray, Yazar )In this paper we define the notion of lifting of a crossed module via the morphism in groups with operations and give some properties of this type of liftings. Further we prove that the lifting crossed modules of a certain crossed module are categorically equivalent to the internal groupoid actions on groups with operations, where the internal groupoid corresponds to the crossed module.enAttribution-NonCommercial-NoDerivs 3.0 United Statesinfo:eu-repo/semantics/openAccessCovering GroupoidGroup with OperationsInternal GroupoidLifting Crossed ModuleLiftings of crossed modules in the category of groups with operationsArticle38718119310.5269/bspm.v38i7.46500Q2N/A