4 papers · 1 filter
Cocommutative Hopf Dialgebras and Rack Combinatorics
José Gregorio Rodríguez-Nieto, Olga Patricia Salazar-Díaz, Andrés Sarrazola-Alzate +1
We study cocommutative Hopf dialgebras through generalized digroups and rack combinatorics. We prove that the rack functor obtained from the adjoint rack bialgebra factorizes throu…
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…
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…