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- W2952545595 abstract "This paper deals with the variety of commutative nonassociative algebras satisfying the identity $L_x^3+ gamma L_{x^3} = 0$, $gamma in K$. Correa et al proved that if $gamma = 0,1$ then any such finitely generated algebra is nilpotent. Here we generalize this result by proving that if $gamma neq -1$, then any such algebra is locally nilpotent. Our results require characteristic $neq 2,3$." @default.
- W2952545595 created "2019-06-27" @default.
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- W2952545595 date "2009-07-21" @default.
- W2952545595 modified "2023-10-01" @default.
- W2952545595 title "A class of Locally Nilpotent Commutative Algebras" @default.
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