Nilpotency of commutative finitely generated algebras satisfying Lx3+γLx3=0, γ=1,0

This paper deals with two varieties of commutative non-associative algebras. One variety satisfies Lx3+Lx3=0. The other variety satisfies Lx3=0. We prove that in either variety, any finitely generated algebra is nilpotent. Our results require characteristic ≠2,3. © 2010 Elsevier Inc.

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URI: https://repositorio.uchile.cl/handle/2250/154147
DOI: 10.1016/j.jalgebra.2010.12.002
ISSN: 00218693
1090266X

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Journal of Algebra, Volumen 330, Issue 1, 2018, Pages 48-59

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