Jordan nilalgebras of dimension 6

• Elgueta, Luisa ^[1] ; Suazo, Avelino ^[1]
  1. [1] Universidad de La Serena

     Universidad de La Serena

     La Serena, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 3, 2002, págs. 277-289
• Idioma: inglés
• DOI: 10.4067/S0716-09172002000300005
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• Resumen

  • It is known the classification of commutative power-associative nilalgebras of dimension ≤ 4 (see, [4]). In [2], we give a description of commutative power-associative nilalgebras of dimension 5. In this work we describe Jordan nilalgebras of dimension 6.

• Referencias bibliográficas
  • Citas [1] I. Correa and A. Suazo, On a class of commutative power-associative nilalgebras, Journal of Algebra 215, pp. 412-417, (1999).
  • [2] L. Elgueta and A. Suazo, Jordan nilagebras of nilindex n and dimension n + 1, Communications in Algebra, Vol. 30, 11, pp. 5545-5559,...
  • [3] L. Elgueta and A. Suazo, The index of nilpotence of Jordan nilalgebras of nilindex n and dimension ≤ n + 2, International Journal...
  • [4] M. Gerstenhaber and H. C. Myung, On commutative power-associative nilalgebras of low dimension, Proc. Amer. Math. Soc. 48, pp. 29-32,...
  • [5] R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York/London, (1966).
  • [6] K. A. Zhevlakov, A. M. Slinko, I. P. Shestakov, and A. I. Shirshov, Rings That Are Nearly Associative, Academic Press, New York/London,...