A note on quasi n-maps
DOI:
https://doi.org/10.4067/S0716-09172004000100004Keywords:
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.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).
[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.
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