We investigate the structure of commutative power-associative nilalgebras of dimension and nilindex n.

Gerstenhaber and Myung (1975) classified all commutative power-associative nilalgebras of dimension 4. In Elduque and Labra (2007), Gerstenhaber and Myung's results are generalized by giving a classification of commutative ...

Gerstenhaber and Myung (1975) classified all commutative, power-associative nilalgebras of dimension 4. In this article we extend Gerstenhaber and Myung's results by giving a classification of commutative right-nilalgebras ...

We shall study representations of algebras over fields of characteristic ≠ 2, 3 of dimension 4 which satisfy the identities xy - yx = 0, and ((xx)x)x = 0. In these algebras the multiplication operator was shown to be ...

We study the variety of algebras A over a field of characteristic ≠ 2, 3, 5 satisfying the identities xy=yx and β ((xx)y)x-((yx)x)x + γ ((xx)x)y-((yx)x)x=0, where β, γ are scalars. We do not assume power-associativity. We ...

We extend the concept of commutative nilalgebras to commutative algebras which are not power associative. We shall study commutative algebras A over fields of characteristic ≠ 2, 3 which satisfy the identities x(x(xx)) = ...