Artículos de revistas
Malcev dialgebras
Fecha
2013-08-02Registro en:
LINEAR & MULTILINEAR ALGEBRA, ABINGDON, v. 60, n. 10, supl. 1, Part 3, pp. 1125-1141, 42005, 2012
0308-1087
10.1080/03081087.2011.651721
Autor
Bremner, Murray R.
Peresi, Luiz A.
Sanchez-Ortega, Juana
Institución
Resumen
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 computer algebra to verify that these identities are equivalent to the identities of degree up to 4 satisfied by the dicommutator in every alternative dialgebra. We extend these computations to show that any special identity for Malcev dialgebras must have degree at least 7. Finally, we introduce a trilinear operation which makes any Malcev dialgebra into a Leibniz triple system.