| Local Derivations of a Matrix Algebra over a Commutative Ring |
| Received:January 19, 2010 Revised:October 08, 2010 |
| Key Words:
derivations local derivations $R$-algebras.
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| Fund Project:Supported by the K.C. Wang Education Foundation of Hong Kong. |
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| Abstract: |
| Let $R$ be a commutative ring with identity, $N_n(R)$ the matrix algebra consisting of all $n\times n$ strictly upper triangular matrices over $R$. Several types of proper local derivations of $N_n(R)~(n\leq 4)$ are constructed, based on which all local derivations of $N_n(R)~(n\leq 4)$ are characterized when $R$ is a domain. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.05.003 |
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