Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

Atık, M.Aytekin, AliUslu, Enver Önder13.07.20192019-07-1613.07.20192019-07-1620170092-78721532-4125https://doi.org/10.1080/00927872.2016.1226853https://hdl.handle.net/20.500.12451/4382We investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat(1)-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat(1)-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module.eninfo:eu-repo/semantics/closedAccessActionActorPrecrossed ModuleSplit Extension ClassifierRepresentability of actions in the category of (Pre)crossed modules in Leibniz algebrasArticle4551825184110.1080/00927872.2016.1226853Q2WOS:000390885700001N/A