A note on quasi n-maps

Authors

  • Iván Correa Universidad de La Serena.
  • Alicia Labra Universidad de Chile.

DOI:

https://doi.org/10.4067/S0716-09172004000100004

Keywords:

n-maps, quasi n-maps, quasi cubic form, parallelepiped law, n-mapas, cuasi n-mapas, forma cuasi cúbica, ley del paralelepípedo.

Abstract

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.

Author Biographies

Iván Correa, Universidad de La Serena.

Departamento de Matemáticas.

Alicia Labra, Universidad de Chile.

Facultad de Ciencias,
Departamento de Matemáticas. 

References

[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).

Published

2017-05-22

How to Cite

[1]
I. Correa and A. Labra, “A note on quasi n-maps”, Proyecciones (Antofagasta, On line), vol. 23, no. 1, pp. 51-60, May 2017.

Issue

Section

Artículos