Artículo de revista
Nilpotency of commutative finitely generated algebras satisfying L(x)(3) + gamma L(x)(3)=0, gamma=1, 0
Fecha
2011-03-15Registro en:
JOURNAL OF ALGEBRA Volume: 330 Issue: 1 Pages: 48-59 Published: MAR 15 2011
0021-8693
DOI: 10.1016/j.jalgebra.2010.12.002
Autor
Correa, Iván
Hentzel, Irvin Roy
Labra Jeldres, Alicia
Institución
Resumen
This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L(x)(3) + L(x)(3) = 0. The other variety satisfies L(x)(3) = 0. We prove that in either variety, any finitely generated algebra is nilpotent. Our results require characteristic not equal 2, 3. (C) 2010 Elsevier Inc. All rights reserved.