Algunas T-algebras de rango 3 con formas bilineales asociativas
DOI:
https://doi.org/10.22199/S07160917.1992.0001.00005Keywords:
Algebra, idempotentesAbstract
Sean (A, ?) una T-álgebra con idempotente, cuya ecuación rango es x3 -(1+ ? ) ? (x )x2 + ? ? (x )2 x = 0 y ? una forma bilineal asociativa en A En este trabajo establecemos que si 0 ? ? ? 1, ? es degenerada. Además se demuestra que la simetría de ? sólo depende de la simetría de ?|v y que ?(e, e) es constante para todo idempotente e ? A .
References
[ 1] Baeza R.,Catalán A.,Costa R.: Bernstein algebras with associative bilinear forms. Arch. Math.(por aparecer).
[ 2] Costa R. Principal train algebras of rank 3 and dimension ? 5 . Proccedings of the Edinburg Math. Soc., 33, pp 61-70, 1990.
[ 3] Ouattara M. Algebres de Jordan et algebres genetiques. Tesis Doctorado, Montpellier. Francia, 1989.
[ 4] Walcher S. Bernstein algebras which are Jordan algebras. Arch. Math. 50, pp 218-222. 1988.
[ 2] Costa R. Principal train algebras of rank 3 and dimension ? 5 . Proccedings of the Edinburg Math. Soc., 33, pp 61-70, 1990.
[ 3] Ouattara M. Algebres de Jordan et algebres genetiques. Tesis Doctorado, Montpellier. Francia, 1989.
[ 4] Walcher S. Bernstein algebras which are Jordan algebras. Arch. Math. 50, pp 218-222. 1988.
Published
2018-04-02
How to Cite
[1]
R. Baeza Vega and R. Benavides, “Algunas T-algebras de rango 3 con formas bilineales asociativas”, Proyecciones (Antofagasta, On line), vol. 11, no. 1, pp. 29-35, Apr. 2018.
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