Luiz A. Peresi

most citedSpecial identities for quasi-Jordan algebras

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2011

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…

math.RA2010★ 5 cited

Special identities for quasi-Jordan algebras

Murray R. Bremner, Luiz A. Peresi

Semispecial quasi-Jordan algebras (also called Jordan dialgebras) are defined by the polynomial identities $a (b c) = a (c b)$ , $(ba) a^{2} = (b a^{2}) a$ , and $(b, a^{2}, c) = 2 (b, a, c) a$ . These…

math.RA2010

Enveloping algebras of Malcev algebras

Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi +2

We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit s…