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arXiv · 1303.6033

2-Local derivations on matrix rings over associative rings

Shavkat Ayupov·Farhodjon Arzikulov
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Abstract

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

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Shavkat Ayupov, Farhodjon Arzikulov. 2013-03-25. 2-Local derivations on matrix rings over associative rings. https://arxiv.org/abs/1303.6033

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