A GENERALIZATION OF ENGEL CONDITIONS WITH DERIVATIONS IN RINGS

作者：Wang, Yu^*

来源：Communications in Algebra, 2011, 39(8): 2690-2696.

DOI：10.1080/00927872.2010.489536

• Derivation
• Differential identity
• Generalized polynomial identity
• Prime ring

Let R be a prime ring of characteristic different from 2 with Z the center of R and d a nonzero derivation of R. Let k, m, n be fixed positive integers. If ([d(x(k)), x(k)](n))(m) is an element of Z for all x is an element of R, then R satisfies S(4), the standard identity in 4 variables.

• 出版日期2011
• 单位上海师范大学