On the classification of commutative right-nilalgebras of nilindex five and dimension four

• Autores: Alberto Carlos Elduque Palomo , A. Labra
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 8, 2007
• Idioma: inglés
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• Resumen

  • Gerstenhaber and Myung in [10] classified all commutative-power associative nilalgebras of dimension 4. In [7] Gerstenhaber and Myung¿s results are generalized by giving a classification of commutative right-nilalgebras of right-nilindex four and dimension at most four, without assuming power-associativity. In this paper we complete this research and give a classification of commutative right-nilalgebras of right-nilindex five and dimension four, without assuming power-associativity, thus completing the classification of commutative right-nilalgebras of dimension at most four.