10 citations · 21 across the 7 of their papers we have counts for
7 papers
Ternary mappings of some evolution algebras
Candido Martin Gonzalez, Jacques Rabie, Juana Sanchez-Ortega
The group scheme of ternary automorphisms of a perfect finite dimensional evolution algebra A is computed. The main advantage of using group schemes is that it allows to apply the…
-Biderivations and -commuting maps of triangular algebras
Cándido Martín González, Joe Repka, Juana Sánchez-Ortega
Let $\A$ be an algebra and an automorphism of $\A$. A linear map of $\A$ is called a -derivation of $\A$ if , for all $x, y \in \A$. A bilinear…
The Pieri rule for dual immaculate quasi-symmetric functions
Nantel Bergeron, Juana Sánchez-Ortega, Mike Zabrocki
The immaculate basis of the non-commutative symmetric functions was recently introduced by the first and third author to lift certain structures in the symmetric functions to the d…
The Cayley-Dickson process for dialgebras
R. Felipe-Sosa, R. Felipe, J. Sanchez-Ortega +2
We adapt the algorithm of Kolesnikov and Pozhidaev, which converts a polynomial identity for algebras into the corresponding identities for dialgebras, to the Cayley-Dickson doubli…
Leibniz triple systems
Murray R. Bremner, Juana Sanchez-Ortega
We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras. We ve…
Jordan Triple Disystems
Murray R. Bremner, Raul Felipe, Juana Sanchez-Ortega
We take an algorithmic and computational approach to a basic problem in abstract algebra: determining the correct generalization to dialgebras of a given variety of nonassociative…