Solvability of commutative power-associative nilalgebras of nilindex 4 and dimension
Author
Elgueta, Luisa
Suazo Delgado, Avelino
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/156410.4067/S0716-09172004000200005
Abstract
Let A be a commutative power-associative nilalgebra. In this paper we prove that when A (of characteristic ?2) is of dimension ? 8 and x? = 0 for all x ? A, then ((A²)²)² = 0. That is, A is solvable. We conclude that if A is of dimension ? 7 over a field of characteristic ?2, 3 and 5, then A is solvable.
Metadata
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
Solvability of commutative power-associative nilalgebras of nilindex 4 and dimension
Elgueta, Luisa; Suazo Delgado, Avelino. Proyecciones. Journal of Mathematics; Vol 23 No 2 (2004); 123-129 -
On conmutative left-nilalgebras of index 4
Gutierrez Fernandez, Juan C.. Proyecciones. Journal of Mathematics; Vol 27 No 1 (2008); 103-111 -
Solvability of commutative right-nilalgebras satisfying (b(aa))a=b((aa)a)*
Correa, Iván; Hentzel, Roy; Labra, Alicia. Proyecciones. Journal of Mathematics; Vol 29 No 1 (2010); 9-15