A note on multiplicative (generalized)-skew derivation on semiprime rings

Abstract

In this article, we study multiplicative (generalized)-skew derivation G and multiplicative left centralizer H satisfying certain conditions in semiprime rings. Moreover, some examples are given to demonstrate that the semiprimeness imposed on the hypotheses of various theorems is essential.

Keywords

• Semiprime ring
• multiplicative (generalized)-skew derivation
• multiplicative left centralizer and automorphism