2 citations · 3 across the 4 of their papers we have counts for
3 papers · 1 filter
Malcev dialgebras
Murray R. Bremner, Luiz A. Peresi, Juana Sanchez-Ortega
We apply Kolesnikov's algorithm to obtain a variety of nonassociative algebras defined by right anticommutativity and a `noncommutative' version of the Malcev identity. We use comp…
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…