Resumen de On the classification of commutative right-nilalgebras of dimension at most four

Alberto Carlos Elduque Palomo , A. Labra

• Gerstenhaber and Myung [5] classified all commutative, power-associative nilalgebras of dimension 4. In this paper we extend Gerstenhaber and Myung¿s results by giving a classification of commutative right-nilalgebras of rightnilindex four and dimension at most four, without assuming power-associativity. For quadratically closed fields there is, up to isomorphism, a unique such algebra which is not power-associative in dimension 3 and seven in dimension 4.