2 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
A hyperdeterminant for 2 x 2 x 3 arrays
Murray R. Bremner
We use the representation theory of Lie algebras and computational linear algebra to determine the simplest nonconstant invariant polynomial in the entries of a general 2 x 2 x 3 a…
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…