Nilpotency of commutative finitely generated algebras satisfying Lx3 + γ Lx3=0, γ=1, 0

被引：6

作者：

Correa, Ivan ^{[1
]}

Hentzel, Irvin Roy ^{[2
]}

Labra, Alicia ^{[3
]}

机构：

[1] Univ Metropolitana Cs Educ, Dept Matemat, Santiago, Chile

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[3] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

JOURNAL OF ALGEBRA | 2011年 / 330卷 / 01期

关键词：

Nilpotency; Solvability; Finitely generated; POWER-ASSOCIATIVE NILALGEBRAS; SOLVABILITY; IDENTITIES; DIMENSION; DEGREE-4;

D O I：

10.1016/j.jalgebra.2010.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：48 / 59

页数：12

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