DERIVATIONS INVOLVING CENTRALIZERS

作者：Ullah Zafar; Javaid Imran; Chaudhry Muhammad Anwar^*

来源：Utilitas Mathematica, 2013, 90: 383-392.

• semiprime ring
• centralizers
• alpha-centralizer
• derivation
• generalized derivation
• generalized (alpha,beta)- derivation

Let R be a 2-torsion free semiprime ring, D : R -> R be a derivation and alpha, beta are surjective centralizers on R. In this paper, we show that if [[D(x), alpha(x)], beta(x)] = 0 and D(beta(x)) = beta(D(x)) for all x is an element of R, then D is commuting on R.

• 出版日期2013-3