Abstract

The notion of reverse derivation is studied and some properties are obtained. It is shown that in the class of semiprime rings, this notion coincides with the usual derivation when it maps a semiprime ring into its center. However, we provide some examples to show that it is not the case in general. Also it is shown that non-commutative prime rings do not admit a non-trivial skew commuting derivation. Mathematics Subject Classification: 16A70, 16N60, 16W25

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