2 citations · 4 across the 3 of their papers we have counts for
3 papers
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…