Document Type: Research Paper

**Author**

Department of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.

**Abstract**

In this article, the notion of $n-$derivation is introduced for all integers $n\geq 2$. Although all derivations are $n-$derivations, in general these notions are not equivalent. Some properties of ordinary derivations are investigated for $n-$derivations. Also, we show that under certain mild condition $n-$derivations are derivations.

**Keywords**

**Main Subjects**

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