University of MaraghehSahand Communications in Mathematical Analysis2322-580703220160601On $n$-derivations10711519780ENMohammad Hossein SattariDepartment of Mathematics, Faculty of Science, Azarbaijan Shahid Madani University, P.O.Box 53751-71379, Tabriz, Iran.Journal Article20160225In this article, the notion of $n-$derivation is introduced for all integers $ngeq 2$. 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.http://scma.maragheh.ac.ir/article_19780_83b63b675701b909f6b32e3f6bb7c3aa.pdf