A Class of Locally Nilpotent Commutative Algebras
نویسندگان
چکیده
This paper deals with the variety of commutative nonassociative algebras satisfying the identity Lx + γLx3 = 0, γ ∈ K. In [2] it is proved that if γ = 0, 1 then any finitely generated algebra is nilpotent. Here we generalize this result by proving that if γ 6= −1, then any such algebra is locally nilpotent. Our results require characteristic 6= 2, 3.
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ورودعنوان ژورنال:
- IJAC
دوره 21 شماره
صفحات -
تاریخ انتشار 2011