Actor of a crossed module of dialgebras via tetramultipliers
DATA:
2021-08-06
IDENTIFICADOR UNIVERSAL: http://hdl.handle.net/11093/7894
VERSIÓN EDITADA: http://dergipark.org.tr/en/doi/10.15672/hujms.701217
MATERIA UNESCO: 12 Matemáticas
TIPO DE DOCUMENTO: article
RESUMO
We study the representability of actions in the category of crossed modules of dialgebras via tetramultipliers. We deduce a pair of dialgebras in order to construct an object which, under certain circumstances, is the actor (also known as the split extension classifier). Moreover, we give give a full description of actions in terms of equations. Finally, we check that under the aforementioned circumstances, the center coincides with the kernel of the canonical map from a crossed module to its actor.