A note on quasi n-maps

• Correa, Iván ^[1] ; Labra, Alicia ^[2]
  1. [1] Universidad de La Serena

     Universidad de La Serena

     La Serena, Chile

     
  2. [2] Universidad de Chile

     Universidad de Chile

     Santiago, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 1, 2004, págs. 51-60
• Idioma: inglés
• DOI: 10.4067/S0716-09172004000100004
• Enlaces
  • Texto completo
• Resumen

  • Using a factorization of quasi n-maps we find a relationship between the module formed by the n-maps and the module formed by the quasi n-maps. In particular, we characterize the quasi cubic forms using a relation called the parallelepiped law. Moreover we give necessary and sufficient conditions for the equality of the modules of quasi cubic forms and cubic forms for any module M.

• Referencias bibliográficas
  • Citas [1] M. Ferrero and A. Micali, Sur les n-applications, Bull. Soc. Math. France Mem. 59, pp. 33-53, (1979).
  • [2] A. M. Gleason, The definition of a quadratic form, Amer. Math. Monthly 73, pp. 1049-1056, (1966).
  • [3] T. M. K. Davison, Jordan derivations and quasi-bilinear forms, Comm. in Alg. 12 (1), pp. 23-32, (1984).