RT Journal Article T1 Actor of a crossed module of dialgebras via tetramultipliers A1 Casas Mirás, José Manuel A1 Fernández Casado, Rafael A1 García Martínez, Xabier A1 Khmaladze, Emzar K1 12 Matemáticas AB 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. PB Hacettepe Journal of Mathematics and Statistics SN 2651477X YR 2021 FD 2021-08-06 LK http://hdl.handle.net/11093/7894 UL http://hdl.handle.net/11093/7894 LA eng NO Hacettepe Journal of Mathematics and Statistics, 50(4): 1063-1078 (2021) NO Agencia Estatal de Investigación | Ref. MTM2016-79661-P DS Investigo RD 07-feb-2025