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Local derivations of full matrix rings
Authors:R.?Alizadeh  author-information"  >  author-information__contact u-icon-before"  >  mailto:alizadeh@shahed.ac.ir"   title="  alizadeh@shahed.ac.ir"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,M.?J.?Bitarafan
Affiliation:1.Department of Mathematics,Shahed University,Tehran,Iran
Abstract:Let ({mathcal{R}}) be a unital commutative ring and ({mathcal{M}}) be a 2-torsion free central ({mathcal{R}}) -bimodule. In this paper, for ({n geqq 3}), we show that every local derivation from M n (({mathcal{R}})) into M n (({mathcal{M}})) is a derivation.
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