6 papers
Cocommutative Hopf Dialgebras and Rack Combinatorics
José Gregorio RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz, 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…
Cohomological Maschke's Theorem for Generalized Digroups
José Gregorio RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz, 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 RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz +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 RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz, 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…
Skew-symmetric augmented matrices and a characterization of virtual doodles
Oscar Ocampo, José Gregorio RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz
In this paper, we present a brief overview of the concept of doodles from the perspective of J.S. Carter's work on classifying immersed curves and the work of J.S. Carter, S. Kamad…
Rack Representations and Connections with groups representations
José Gregorio RodrÃguez-Nieto, Olga Patricia Salazar-DÃaz, 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…