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arXiv · 1705.09910

Two-Local derivations on associative and Jordan matrix rings over commutative rings

Shavkat Ayupov·Farhodjon Arzikulov
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Abstract

In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring. We also develop a Jordan analog of the above method and prove that every 2-local inner derivation on the Jordan matrix ring over a commutative ring is a derivation.

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Shavkat Ayupov, Farhodjon Arzikulov. 2017-05-28. Two-Local derivations on associative and Jordan matrix rings over commutative rings. https://doi.org/10.1016/j.laa.2017.02.012

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