19 citations · 201 across the 54 of their papers we have counts for
5 papers · 2 filters
Polynomial identities for tangent algebras of monoassociative loops
Murray R. Bremner, Sara Madariaga
We introduce degree n Sabinin algebras, which are defined by the polynomial identities up to degree n in a Sabinin algebra. Degree 4 Sabinin algebras can be characterized by the po…
The simple non-Lie Malcev algebra as a Lie-Yamaguti algebra
Murray R. Bremner, Andrew Douglas
The simple 7-dimensional Malcev algebra is isomorphic to the irreducible -module V(6) with binary product defined by the $\…
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…