5 papers
Cohomological Maschke's Theorem for Generalized Digroups
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Andrés Sarrazola-Alzate +1
We study Maschke-type phenomena in the representation theory of generalized digroups. For a generalized digroup , we construct an associative enveloping algebra and prove…
Derivations in Dialgebras Derivations and Biderivations in Dialgebras
Gabriel Gustavo Restrepo-Sánchez, José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz +2
The concepts of derivations and right derivations for Leibniz algebras and -B quasi-Jordan algebras naturally arise from the inner derivations determined by their algebraic stru…
On Derivations of Tensor Products of Perm Algebras and Associative Algebras
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Andrés Sarrazola-Alzate +1
The study of derivations and their generalizations on non-associative algebras has proven to be fundamental in understanding the internal symmetries and algebraic dynamics of such…
Rack Representations and Connections with groups representations
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Ricardo Esteban Vallejos-Cifuentes +1
In this paper we study some algebraic properties of the rack structure as well as the representation theory of it, following the ideas given by M. Elhamdadi and E. M. Moutuou in \c…
Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem (WPT)
F. A. Gómez González, R. Velásquez
An analogue of the Wedderbur principal theorem (WPT) is considered for finite dimensional Jordan superalgebras A with solvable radical N, such that N^2=0 and A/N is isomorphic to J…