19 citations · 201 across the 54 of their papers we have counts for
11 papers · 2 filters
Enveloping algebras of the nilpotent Malcev algebra of dimension five
Murray R. Bremner, Hamid Usefi
Perez-Izquierdo and Shestakov recently extended the PBW theorem to Malcev algebras. It follows from their construction that for any Malcev algebra over a field of characteristi…
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 , , and . These…
The partially alternating ternary sum in an associative dialgebra
Murray R Bremner, Juana Sanchez Ortega
The alternating ternary sum in an associative algebra, , gives rise to the partially alternating ternary sum in an associative dialgebra with pro…
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…
Lie invariants in two and three variables
Murray R. Bremner, Jiaxiong Hu
We use computer algebra to determine the Lie invariants of degree <= 12 in the free Lie algebra on two generators corresponding to the natural representation of the simple 3-dimens…
Polynomial identities for ternary intermolecular recombination
Murray R. Bremner
The operation of binary intermolecular recombination, originating in the theory of DNA computing, permits a natural generalization to n-ary operations which perform simultaneous re…