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In the present paper it is proved that every inner 2-local derivation on thematrix ring $M_n(\Re)$ of $n\times n$ matrices over a commutative associativering $\Re$ is an inner derivation. Also, it is proved that, every derivation onan associative ring $\Re$ has an extension to a derivation on the matrix ring$M_n(\Re)$ of $n\times n$ matrices over $\Re$.

2-Local derivations on matrix rings over associative rings