n-Commuting skew higher derivation on semiprime rings


Prajapati, Balchand


Abstract

creative_2020_29_1_57_64_abstract

In this article we study skew higher derivation (d_i)_{i\in \mathbb{N}} on semiprime ring R with suitable torsion restriction and we prove that every n-centralizing skew higher derivation is n-commuting. Further, we show that if a ring R has n-centralizing skew higher derivation then either R is commutative or some linear combination of (d_i)_{i\in \mathbb{N}} maps center of R to zero.

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Author(s)

Prajapati, Balchand