NILPOTENCY OF COMMUTATIVE FINITELY GENERATED ALGEBRAS SATISFYING alpha R-x(3) + beta R(x)Rx2=0

作者：Behn Antonio^*; Correa Ivan

来源：Communications in Algebra, 2015, 43(12): 5291-5297.

DOI：10.1080/00927872.2014.974257

• Nilpotency
• Nonassociative algebra
• Polynomial identity

In this article, we prove the nilpotency of commutative nonassociative finitely generated algebras satisfying an identity of type alpha R-x(3) + beta RxRx2 = 0, with alpha + beta not equal 0. Our result requires characteristic not equal 2, 3, 5.

• 出版日期2015