ANNIHILATOR CONDITION ON POWER VALUES OF DERIVATIONS

作者：Dhara Basudeb^*

来源：Indian Journal of Pure and Applied Mathematics, 2011, 42(5): 357-369.

• Prime ring
• derivation
• extended centroid
• symmetric Martindale's quotient ring

Let R be a prime ring, d, delta two derivations of R, L a noncentral Lie ideal of R and 0 not equal a is an element of R. The main object in this paper is to discuss the situations a(d(x)x - x delta(x))(n) = 0 for all x is an element of L and a(d(x)x - x delta(x)) is an element of Z(R) for all x is an element of L, where n >= 1 is a fixed integer.

• 出版日期2011-10