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.
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