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

• Autores: Alberto Carlos Elduque Palomo, A. Labra
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 5, 2006
• Idioma: inglés
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• Resumen

  • 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.